Some Applications of trigonometry
|
|
- Gwendoline Potter
- 5 years ago
- Views:
Transcription
1 Some Applications of trigonometry 1. A flag of 3m fixed on the top of a building. The angle of elevation of the top of the flag observed from a point on the ground is 60º and the angle of depression of that point from the top of the tower is 45º. Find the distance of flag from the point of observation. 2. From the top of a tree of 30 m height, the angle of elevation of the top and the angle of depression of the bottom of a tower standing on the same plane are observed to be 30º and 60º respectively. Find the height of the tower. 3. A ladder 12 3 m long, resting against a wall makes an angles of 60º with the ground. a) Find the distance of the ladder from the wall. b) How high on the wall does the ladder reach? 4. A boy, 1.5 m tall is 60m away from a tower of 31.5 m heigh. What is the angle of elevation of the top of the tower from his eye. 5. A hospital is in between a school, and a tower and all are on a straight line. The distance from the tower to school is 120 m and the angle of elevation of the top of the tower from the top of the hospital is 30º. From the same point, the angle of depression of the top of the school is found to be 45º and the bottom of the tower is 60º. If the height of the school is 20m, then find the heights of the hospital and the tower. 6. A boy standing on a horizontal plane finds a bird flying at a distance of 100 m from him at an elevation of 30º. A girl standing on the roof of 20m high building finds the angle of elevation of the same bird to be 45º. Both the boy and the girl are on opposite sides of the bird. Find the distance of bird from the girl.
2 7. The difference in the lengths of the shadow of an electric post when the sun is at angles of elevation 30º and 60º is 6 meters. Find the height of the post. 8. From the top of a cone of base radius 21 cm and height 72 cm, a cone of slant height 25 cm is cut off. What is the volume and curved surface area of the remaining portion? 9. A man of height 1.6m saw the top of a tree at an angle of elevation 30º. After 1 year the same man saw its top, 42 cm more, from the same spot at an angle of elevation 60º. What is the total height of the tree? 10. An aero plane, when 3000 m high, passes vertically above another aero plane at an instant, when the angle of elevation of the two aero planes from the same point on the ground are 60º and 45º respectively. Find the vertical distance between the aero planes. (use 3 = 1.73) 11. A man standing on the deck of a ship, which is 10m above water level, observes the angle of elevation of the top of a hill as 60º and angle of depression of the base of the hill as 30º. Find the distance of the hill from the ship and height of the hill. 12. The bottom of a ladder makes an angle 60º with the floor when it is slanted on a wall. The distance of the ladder from the wall is 45 cm. The ladder slides a little downwards, and then the new angle is 30º and the top of the ladder moves 3 cm downwards. Find the length of the ladder. 13. A man is standing on a tree of height 2.1m, 50 m away from the foot of a tower of height 90m. Find the angle of elevation of the top of the tower if the height of the man is 1.3m 14. From a window x metres high above the ground in a street, the angles of elevation and depression of the top and foot of the other house on the opposite side of the street are a and b respectively. Show that the height of the opposite house is x (1 + tan a cot b) metres.
3 15. An electric post height 15 ft. has a shadow of same length at a particular time. Find the angle of elevation of the sun from the end of the shadow at this time. 16. From an aeroplane vertically above a straight horizontal plane, the angles of depression of two consecutive kilometer stones on the opposite sides of the aero plane tanatanb are found to be a and b. Show that the height of the aeroplane is tana+tanb 17. The angle of elevation of the top of a tower from a point on the same level as the foot of the tower is 30º. On advancing 150 meters towards the foot of the tower, the angle of elevation becomes 60º. Show that the height of the tower is 129 meters. (use 3 = 1.732) 18. Peter is looking up at the top of a statue of height 11 ft. 45 feet up in a tower. Peter is 56 3 feet away from the building, across the street. Find the angle of elevation of the top of the statue. Also find the distance of the top of statue from peter. 19. The height of a house subtends a right angle at the opposite window. The angle of elevation of the window from the base of the house is 60º. If the width of the road is 6 m, find the height of the house. 20. A flag of 3m fixed on the top of a tower. The angle of elevation of the top of the flag observed from a point on the ground is 45º and the angle of depression of that point from the top of the tower is 30º. Find the distance of flag from the point of observation. 21. A man standing on the deck of a ship which is 40m above water level, observes the angle of elevation of the top of a hill as 60 and angle of depression of the base of the hill as 30. Find the distance of the hill from the ship and height of the hill. 22. The angle of elevation of a jet plane from a point A on the ground is 60. After a flight of 15 seconds, the angle of elevation changes to 30. If the jet plane is flying at a constant height of m. find the speed of the jet plane.
4 23. The angle of elevation of the top of a rock from the top and bottom of a 100m high tower is 30 is 30 and 45 respectively. Find the height of tbe rock. 24. A person standing on the bank of a river observe that the angle of elevation of the top of tree standing on the opposite bank is 60. When he moves 40m away from the bank, he finds the angle of elevation to be 30. Find the height of the tree and the width of the river. 25. An aeroplane, when 3000m high, passes vertically above another aeroplane at an instance when the angles of elevation of the two aeroplanes from the same point on the ground are 60 and 45 respectively. Find the vertical distance between the two aeroplanes. 26. A pole 5m high is fixed on the top of a tower. The angle of eleavation of the top of the pole observed from a point on the ground is 60 and the angle of depression of the same point from the top of the tower is 45. Find the height of the tower. 27. From the top of a tower, the angles of depression o f two objects on the same side of the tower are found to be a and b (a>b). If the distance between the objects is p metres, show that the height h of the tower is given by : h = ptanatanb (tana tanb) 28. The angle of elevation of a jet plane from a point P on the ground is 60. After a flight of 15 seconds, the angle of elevation changes to 30. If the jet plane is flying at a constant height of 1500 m. find the speed of the jet plane in km/h 29. The angle of elevation of a cloud from a point 60 meters above a lake is 30 and the angle of depression of its reflection in the lake 60. Find the height of the cloud. 30. The angle of elevation of the top of a rock from the top and bottom of a 100m high tower is 30 and 45 respectively. Find the height of the rock.
5 31. A person standing on bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60. When he moves 40m away from the bank. he finds the angle of elevation to be 30. Find the height of the tree and the width of the river. 32. An aeroplane, when 3000m high, passes vertically above another areoplane at an instance when the angles of elevation of the two aeroplanes from the same point on the ground are 60 and 45 respectively. Find the vertical distance between the two aeroplanes. 33. A pole 5m high is fixed on the top of a tower. The angle of elevation of the top of the pole observed from a point on the ground is 60 and the angle of depression of the same point from the top of the tower is 45. Find the height of the tower. 34. The angle of elevation of the top tower as seen from two points A and B situated in the same line and at a distance p and q respectively from the foot of the tower, are complementary, Prove taht the height of the tower is pq. 35. Two poles of equal heights are standing opposite to each other on either side of a road., which is 100 metre wide. From a point between them on the road, the angles of elevation of their tops are 30 and 60. Find the position of the point and also the heights of the poles. 36. A man standing on top of a multi-storeyed building 45m high is looking at two advertising pillars on the same side whose angles of depression are 30 and 60 respectively. What is the distance between the pillars? (Assume the two pillars as two points on the level ground and in the same straight line)
TRIGONOMETRY - Angle Of Elevation And Angle Of Depression Based Questions.
TRIGONOMETRY - Angle Of Elevation And Angle Of Depression Based Questions. 1. A man 1.7 m tall standing 10 m away from a tree sees the top of the tree at an angle of elevation 50 0. What is the height
More informationDownloaded from APPLICATION OF TRIGONOMETRY
MULTIPLE CHOICE QUESTIONS APPLICATION OF TRIGONOMETRY Write the correct answer for each of the following : 1. Write the altitude of the sun is at 60 o, then the height of the vertical tower that will cost
More information#12 Algebra 2 Notes Using Trig in Real Life
#12 Algebra 2 Notes 13.1 Using Trig in Real Life #12 Algebra 2 Notes: 13.1 using Trig in Real Life Angle of Elevation Angle of Elevation means you are looking upward and is usually measured from the ground
More informationClass 10 Application of Trigonometry [Height and Distance] Solved Problems
Class 10 Application of Trigonometry [Height and Distance] Solved Problems Question 01: The angle of elevation of an areoplane from a point on the ground is 45 o. After a flight of 15 seconds, the elevation
More informationTrigonometric ratios:
0 Trigonometric ratios: The six trigonometric ratios of A are: Sine Cosine Tangent sin A = opposite leg hypotenuse adjacent leg cos A = hypotenuse tan A = opposite adjacent leg leg and their inverses:
More informationTopic: Applications Of Trigonometry
Topic: Applications Of Trigonometry Chapter Flowchart The Chapter Flowcharts give you the gist of the chapter flow in a single glance. The height or length of an object or the distance between two distant
More informationRadicals and Pythagorean Theorem Date: Per:
Math 2 Unit 7 Worksheet 1 Name: Radicals and Pythagorean Theorem Date: Per: [1-12] Simplify each radical expression. 1. 75 2. 24. 7 2 4. 10 12 5. 2 6 6. 2 15 20 7. 11 2 8. 9 2 9. 2 2 10. 5 2 11. 7 5 2
More informationClasswork 2.4 Trigonometric Ratios- Application Problems. 1. How tall is the building? 2. How far up will the ladder reach?
1. How tall is the building? 2. How far up will the ladder reach? 3. A rock dropped from the top of the Leaning Tower of Pisa falls to a point 14 feet from the base. If the tower is 182 feet tall, at what
More information1. Make a sketch of the triangles shown below and mark on each triangle the hypotenuse, the opposite and the adjacent sides to the angle. a b c.
Chapter 16 Trigonometry Exercise 16.1 1. Make a sketch of the triangles shown below and mark on each triangle the hypotenuse, the opposite and the adjacent sides to the angle. adj 2. Use the tangent (or
More informationChapter 9 Some Applications of Trigonometry Exercise 9.1 Question 1: A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find
More informationDownloaded from
Exercise 9.1 Question 1: A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made
More informationThe Primary Trigonometric Ratios Word Problems
The Primary Trigonometric Ratios Word Problems A. Determining the measures of the sides and angles of right triangles using the primary ratios When we want to measure the height of an inaccessible object
More informationAB AB 10 2 Therefore, the height of the pole is 10 m.
Class X - NCERT Maths EXERCISE NO: 9.1 Question 1: A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the
More informationThe Primary Trigonometric Ratios Word Problems
. etermining the measures of the sides and angles of right triangles using the primary ratios When we want to measure the height of an inaccessible object like a tree, pole, building, or cliff, we can
More informationPrerequisite Skills. y x =
Prerequisite Skills BLM 1 1... Solve Equations 1. Solve. 2x + 5 = 11 x 5 + 6 = 7 x 2 = 225 d) x 2 = 24 2 + 32 2 e) 60 2 + x 2 = 61 2 f) 13 2 12 2 = x 2 The Pythagorean Theorem 2. Find the measure of the
More informationChapter 2: Trigonometry
Chapter 2: Trigonometry Section 2.1 Chapter 2: Trigonometry Section 2.1: The Tangent Ratio Sides of a Right Triangle with Respect to a Reference Angle Given a right triangle, we generally label its sides
More informationFind the perimeter of the figure named and shown. Express the perimeter in the same unit of measure that appears on the given side or sides.
Mth101 Chapter 8 HW Name Find the perimeter of the figure named and shown. Express the perimeter in the same unit of measure that appears on the given side or sides. 1) 1) Rectangle 6 in. 12 in. 12 in.
More informationNorth Carolina Math 2 Transition Edition Unit 5 Assessment: Trigonometry
Name: Class: _ Date: _ North Carolina Math 2 Transition Edition Unit 5 Assessment: Trigonometry Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the
More informationFind the length of an arc that subtends a central angle of 45 in a circle of radius 8 m. Round your answer to 3 decimal places.
Chapter 6 Practice Test Find the radian measure of the angle with the given degree measure. (Round your answer to three decimal places.) 80 Find the degree measure of the angle with the given radian measure:
More informationOVERVIEW Use Trigonometry & Pythagorean Theorem to Solve G.SRT.8
OVERVIEW Use Trigonometry & Pythagorean Theorem to Solve G.SRT.8 G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. No surprises here. Use trigonometry
More informationD) sin A = D) tan A = D) cos B =
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the function requested. Write your answer as a fraction in lowest terms. 1) 1) Find sin A.
More informationPractice Lesson 11-1 Practice Algebra 1 Chapter 11 "256 "32 "96. "65 "2a "13. "48n. "6n 3 "180. "25x 2 "48 "10 "60 "12. "8x 6 y 7.
Practice 11-1 Simplifying Radicals Simplify each radical epression. 1. "32 2. "22? "8 3. "147 4. 17 5. "a 2 b 5 Ä 144 6. 2 "256 7. "80 8. "27 9. 10. 8 "6 "32 "7 "96 11. "12 4 12. 13. "200 14. 12 15. "15?
More informationShow all work for full credit. Do NOT use trig to solve special right triangle problems (half credit).
Chapter 8 Retake Review 1 The length of the hypotenuse of a 30 60 90 triangle is 4. Find the perimeter. 2 What similarity statement can you write relating the three triangles in the diagram? 5 Find the
More informationCh6prac 1.Find the degree measure of the angle with the given radian measure. (Round your answer to the nearest whole number.) -2
Ch6prac 1.Find the degree measure of the angle with the given radian measure. (Round your answer to the nearest whole number.) -2 2. Find the degree measure of the angle with the given radian measure.
More informationSection 3.4 Solving Problems Using Acute Triangles
Section 3.4 Solving Problems Using Acute Triangles May 9 10:17 AM Example 1: Textbook page 154 Two security cameras in an museum must be adjusted to monitor a new display of fossils. The cameras are mounted
More informationLesson 16: Applications of Trig Ratios to Find Missing Angles
: Applications of Trig Ratios to Find Missing Angles Learning Targets I can find a missing angle in a right triangle diagram and apply this to real world situation Opening Exercise Find the shadow cast
More informationUnit 2 Math II - History of Trigonometry
TSK # Unit Math II - History of Trigonometry The word trigonometry is of Greek origin and literally translates to Triangle Measurements. Some of the earliest trigonometric ratios recorded date back to
More informationCh. 2 Trigonometry Notes
First Name: Last Name: Block: Ch. 2 Trigonometry Notes 2.1 THE TANGENT RATIO 2 Ch. 2.1 HW: p. 75 #3 16, 19 4 2.2 USING THE TANGENT RATIO TO CALCULATE LENGTHS 5 Ch. 2.2 HW: p. 82 # 3 5 (a, c), #6 14 6 2.4
More informationUse a calculator to find the value of the expression in radian measure rounded to 2 decimal places. 1 8) cos-1 6
Math 180 - chapter 7 and 8.1-8. - New Edition - Spring 09 Name Find the value of the expression. 1) sin-1 0.5 ) tan-1-1 ) cos-1 (- ) 4) sin-1 Find the exact value of the expression. 5) sin [sin-1 (0.7)]
More informationTRIGONOMETRY UNIT-6 "Te matematician is fascinated wit te marvelous beauty of te forms e constructs, and in teir beauty e finds everlasting trut.". If xcosθ ysinθ a, xsinθ + ycos θ b, prove tat x +y a
More informationGeometry Review- Chapter Find e, and express your answer in simplest radical form.
Name: Date: Period: Geometry Review- Chapter 10 1. The diagonal of a rectangle measures 15 cm long, and the width is 10. Find the height of the rectangle and epress your answer in simplest radical form.
More informationPre-Test. Use trigonometric ratios to find the value of x. Show all your work and round your answer to the nearest tenth.
Pre-Test Name Date 1. Write the trigonometric ratios for A. Write your answers as simplified fractions. A 6 cm 10 cm sin A cos A 8 10 5 6 10 3 5 C 8 cm B tan A 8 6 3 2. Write the trigonometric ratios for
More informationMCA/GRAD Formula Review Packet
MCA/GRAD Formula Review Packet 1 2 3 4 5 6 The MCA-II / BHS 2 Math Plan GRAD Page 1 of 16 Portions Copyright 2005 by Claude Paradis 8 9 10 12 11 13 14 15 16 1 18 19 20 21 The MCA-II / BHS 2 Math Plan GRAD
More informationDownloaded from
HEIGHTS AND DISTANCES 1. If te angle of elevation of cloud from a point meters aove a lake is and te angle of depression of its reflection in te lake is cloud is., prove tat te eigt of te Ans : If te angle
More information8.5 angles of elevation and depression ink.notebook. March 05, Page 74 Page Angles of Elevation and Depression. Page 76.
8.5 angles of elevation and depression ink.notebook 65 Page 74 Page 73 8.5 Angles of Elevation and Depression Page 75 Page 76 1 Lesson Objectives Standards Lesson Notes Lesson Objectives Standards Lesson
More informationName Date Period. Show all work. Calculator permitted. Report three decimals and units in all final answers.
Name Date Period Worksheet 5.8 Problem Solving With Trig Show all work. Calculator permitted. Report three decimals and units in all final answers. Multiple Choice 1. To get a rough idea of the height
More informationHigher Order Thinking Skill questions
Higher Order Thinking Skill questions TOPIC- Constructions (Class- X) 1. Draw a triangle ABC with sides BC = 6.3cm, AB = 5.2cm and ÐABC = 60. Then construct a triangle whose sides are times the corresponding
More informationTrigonometry Applications
Name: Date: Period Trigonometry Applications Draw a picture (if one is not provided), write an equation, and solve each problem. Round answers to the nearest hundredths. 1. A 110-ft crane set at an angle
More informationCBSE X Mathematics 2016
Time: 3 hours; Total Marks: 90 General Instructions: 1. All questions are compulsory. 2. The question paper consists of 31 questions divided into four sections A, B, C and D. 3. Section A contains 4 questions
More informationName: Period: Geometry Unit 5: Trigonometry Homework. x a = 4, b= a = 7, b = a = 6, c = a = 3, b = 7
Name: Period: Geometr Unit 5: Trigonometr Homework Section 5.1: Pthagorean Theorem Find the value of each variable or missing side. Leave answers in simplest radical form AND as a decimal rounded to the
More informationName Date Trigonometry of the Right Triangle Class Work Unless otherwise directed, leave answers as reduced fractions or round to the nearest tenth.
Name Date Trigonometry of the Right Triangle Class Work Unless otherwise directed, leave answers as reduced fractions or round to the nearest tenth. 1. Evaluate the sin, cos, and tan of θ(theta). 2. Evaluate
More information4. Find the areas contained in the shapes. 7. Find the areas contained in the shapes.
Geometry Name: Composite Area I Worksheet Period: Date: 4. Find the areas contained in the shapes. 7. Find the areas contained in the shapes. 4 mm 2 mm 2 mm 4 cm 3 cm 6 cm 4 cm 7 cm 9. Find the shaded
More informationQUESTION BANK FOR PT -2 MATHEMATICS
QUESTION BANK FOR PT -2 (A Student Support Material) MATHEMATICS Chief Compiler: Mr. K.Srinivasa Rao. (TGT) Co-Compilers: Mr.M.A.Raju(TGT), Mrs.K.Chaitanya (TGT) Mrs.Sreelatha Nair(TGT), Mr.RVA Subramanyam
More informationOnline Coaching for SSC Exams
WWW.SSCPORTAL.IN Online Coaching for SSC Exams http://sscportal.in/community/study-kit Page 1 Trigonometry Subject : Numerical Aptitude Chapter: Trigonometry In the triangles, particularly in right angle
More informationTrigonometry of the Right Triangle Class Work
Trigonometry of the Right Triangle Class Work Unless otherwise directed, leave answers as reduced fractions or round to the nearest tenth. 1. Evaluate the sin, cos, and tan of θ(theta). 2. Evaluate the
More informationSIMILAR TRIANGLES PROJECT
SIMILAR TRIANGLES PROJECT Due Tuesday, November 29, 2016 Group member s names Name Hr REAL LIFE HEIGHT OF TALL OBJECT 4 3 2 1 Shows a proficient understanding, with a few minor mistakes. Pictures drawn
More informationx f(x)
1. Name three different reasons that a function can fail to be differential at a point. Give an example for each reason, and explain why your examples are valid. 2. Given the following table of values,
More informationx f(x)
1. Name three different reasons that a function can fail to be differentiable at a point. Give an example for each reason, and explain why your examples are valid. 2. Given the following table of values,
More informationDay 6: Angles of Depression and Elevation. Unit 5: Trigonometric Functions
+ Day 6: Angles of Depression and Elevation Unit 5: Trigonometric Functions Warm Up + n Find the missing side length 1) 2) n Find the missing angle 10 minutes 3) 4) End + Homework Check + Today s Objective
More informationT.4 Applications of Right Angle Trigonometry
424 section T4 T.4 Applications of Right Angle Trigonometry Solving Right Triangles Geometry of right triangles has many applications in the real world. It is often used by carpenters, surveyors, engineers,
More informationUnit 3 Right Triangle Trigonometry - Classwork
Unit 3 Right Triangle Trigonometry - Classwork We have spent time learning the definitions of trig functions and finding the trig functions of both quadrant and special angles. But what about other angles?
More informationGeometry Right Triangles and Trigonometry
Geometry Right Triangles and Trigonometry Day Date lass Homework Th 2/16 F 2/17 N: Special Right Triangles & Pythagorean Theorem Right Triangle & Pythagorean Theorem Practice Mid-Winter reak WKS: Special
More informationAptitude Height and Distance Practice QA - Difficult
Aptitude Height and Distance Practice QA - Difficult 1. A flagstaff is placed on top of a building. The flagstaff and building subtend equal angles at a point on level ground which is 200 m away from the
More informationDays 3 & 4 Notes: Related Rates
AP Calculus Unit 4 Applications of the Derivative Part 1 Days 3 & 4 Notes: Related Rates Implicitly differentiate the following formulas with respect to time. State what each rate in the differential equation
More informationMathematics 10C. UNIT ONE Measurement. Unit. Student Workbook. Lesson 1: Metric and Imperial Approximate Completion Time: 3 Days
Mathematics 10C Student Workbook Unit 1 0 1 2 Lesson 1: Metric and Imperial Approximate Completion Time: 3 Days Lesson 2: Surface Area and Volume Approximate Completion Time: 2 Days hypotenuse adjacent
More information1. For Cosine Rule of any triangle ABC, b² is equal to A. a² - c² 4bc cos A B. a² + c² - 2ac cos B C. a² - c² + 2ab cos A D. a³ + c³ - 3ab cos A
1. For Cosine Rule of any triangle ABC, b² is equal to A. a² - c² 4bc cos A B. a² + c² - 2ac cos B C. a² - c² + 2ab cos A D. a³ + c³ - 3ab cos A 2. For Cosine Rule of any triangle ABC, c² is equal to A.
More informationNovember 14, Special Right Triangles Triangle Theorem: The length of the hypotenuse is times the length of a leg.
November 14, 2013 5-1Special Right Triangles 1. 45 0-45 0-90 0 Triangle Theorem: The length of the hpotenuse is times the length of a leg. 3. Find the missing measures. e) If BC = 14 inches, find AC if
More informationTrigonometric Functions. Copyright Cengage Learning. All rights reserved.
4 Trigonometric Functions Copyright Cengage Learning. All rights reserved. 4.3 Right Triangle Trigonometry Copyright Cengage Learning. All rights reserved. What You Should Learn Evaluate trigonometric
More informationTrigonometry Unit 5. Reflect previous TEST mark, Overall mark now. Looking back, what can you improve upon?
1 U n i t 5 11C Date: Name: Tentative TEST date Trigonometry Unit 5 Reflect previous TEST mark, Overall mark now. Looking back, what can you improve upon? Learning Goals/Success Criteria Use the following
More informationNames for Homework Assignments.
Names for Homework Assignments. 4 th 6 th 7 th 1.Taylor Woolfolk Free 2 Wheat Gregory Alcantar 3 Harrell King Simpson 4 Crum Shabazz Goodrum 5 Scott Klyce S. Harris 6 Holland R. Harris Walton 7 Lawson
More informationSet up equations to find the lengths of the sides labeled by variables, and Find answers to the equations x. 19 y a a b.
SHADOWS After Day 10 SIMILAR POLYGONS In each of the pairs of figures below, assume the figures are similar and that they are facing the same way; that is, assume that the left side of one corresponds
More informationLet be an acute angle. Use a calculator to approximate the measure of to the nearest tenth of a degree.
Ch. 9 Test - Geo H. Let be an acute angle. Use a calculator to approximate the measure of to the nearest tenth of a degree. 1. 2. 3. a. about 58.0 c. about 1.0 b. about 49.4 d. about 32.0 a. about 52.2
More informationInt Math 2B EOC FIG Assessment ID: ib C. DE = DF. A. ABE ACD B. A + C = 90 C. C + D = B + E D. A = 38 and C = 38
1 If ΔDEF and ΔJKL are two triangles such that D J, which of the following would be sufficient to prove the triangles are similar? A. DE = EF JK KL B. DE = EF JK JL C. DE = DF JK KL D. DE = DF JK JL 2
More informationI.G.C.S.E. Trigonometry 01. You can access the solutions from the end of each question
I.G..S.E. Trigonometry 01 Index: Please click on the question number you want Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 You can access the solutions from the end of each
More informationName: Period: Geometry Honors Unit 5: Trigonometry Homework. x a = 4, b= a = 7, b = a = 6, c =
Name: Period: Geometr Honors Unit 5: Trigonometr Homework Section 5.1: Pthagorean Theorem Find the value of each variable or missing side. Leave answers in simplest radical form ND as a decimal rounded
More informationCK-12 Geometry: Similarity by AA
CK-12 Geometry: Similarity by AA Learning Objectives Determine whether triangles are similar. Understand AA for similar triangles. Solve problems involving similar triangles. Review Queue a. a. Find the
More informationUNIT 7: TRIGONOMETRY.
UNIT 7: TRIGONOMETRY. Trigonometry: Trigonometry (from Greek trigonom triangle and metron measure ) is a branch of mathematics that studies triangles and the relationships between their sides and their
More informationPre-AP Geometry 8-4 Study Guide: Angles of Elevation and Depression (pp ) Page! 1 of! 8
Page! 1 of! 8 Attendance Problems. 1. Identify the the pair of alternate interior angles. 2. Use a calculator to find! tan 30 to the nearest ten-thousandth. 3. Solve! tan 54 = 2500 Round your answer to
More informationdownload instant at
download instant at https://testbanksolution.net CHAPTER, FORM A TRIGONOMETRY NAME DATE For Problems 1-10, do not use a calculator. 1. Write sin 9 in terms of its cofunction. 1.. Find cos A, sec A, and
More informationMath 11 Review Trigonometry
Math 11 Review Trigonometry Short Answer 1. Determine the measure of D to the nearest tenth of a degree. 2. Determine the measure of D to the nearest tenth of a degree. 3. Determine the length of side
More informationUse the following problem to answer popper questions 25 and 26.
Example 9: A 6-foot man is walking towards a 5 foot lamp post at the rate of 10 ft/sec. How fast is the length of his shadow changing when he is 0 feet from the lamp post? Hint: This example will use similar
More informationPage 1 / 15. Motion Unit Test. Name: Motion ONLY, no forces. Question 1 (1 point) Examine the graphs below:
Motion Unit Test Motion ONLY, no forces Name: Question 1 (1 point) Examine the graphs below: Which of the four graphs shows the runner with the fastest speed? A. Graph A B. Graph B C. Graph C D. Graph
More information6.2 Related Rates Name: Notes
Calculus Write your questions and thoughts here! 6.2 Related Rates Name: Notes Guidelines to solving related rate problems 1. Draw a picture. 2. Make a list of all known and unknown rates and quantities.
More informationMathematics Stage 5 MS5.1.2 Trigonometry. Applying trigonometry
Mathematics Stage 5 MS5.1.2 Trigonometry Part 2 Applying trigonometry Number: M43684 Title: MS5.1.2 Trigonometry This publication is copyright New South Wales Department of Education and Training (DET),
More informationFoundations of Math II Unit 4: Trigonometry
Foundations of Math II Unit 4: Trigonometry Academics High School Mathematics 4.1 Warm Up 1) a) Accurately draw a ramp which forms a 14 angle with the ground, using the grid below. b) Find the height of
More informationTrigonometry (Ch. 4) Test Review - CALCULATOR ALLOWED
Name: Class: Date: ID: A Trigonometry (Ch. 4) Test Review - CALCULATOR ALLOWED 1. A guy wire runs from the ground to a cell tower. The wire is attached to the cell tower a = 190 feet above the ground.
More informationReview 3: Forces. 1. Which graph best represents the motion of an object in equilibrium? A) B) C) D)
1. Which graph best represents the motion of an object in equilibrium? A) B) C) D) 2. A rock is thrown straight up into the air. At the highest point of the rock's path, the magnitude of the net force
More informationAPPLICATIONS OF DERIVATIVES
ALICATIONS OF DERIVATIVES 6 INTRODUCTION Derivatives have a wide range of applications in engineering, sciences, social sciences, economics and in many other disciplines In this chapter, we shall learn
More informationHOLIDAY HOMEWORK - CLASS IX B Physics
HOLIDAY HOMEWORK - CLASS IX B Physics Unit: Gravitation Assignment -1 1. The weight of any person on the moon is about 1/6 times that on the earth. He can lift a mass of 15 kg on the earth. What will be
More informationVectors. An Introduction
Vectors An Introduction There are two kinds of quantities Scalars are quantities that have magnitude only, such as position speed time mass Vectors are quantities that have both magnitude and direction,
More informationSimilar Triangles, Pythagorean Theorem, and Congruent Triangles.
ay 20 Teacher Page Similar Triangles, Pythagorean Theorem, and ongruent Triangles. Pythagorean Theorem Example 1: circle has a radius of 20 units. triangle is formed by connecting a point on the perimeter
More information1.1 Angles, Degrees, and Arcs
MA140 Trig 2015 Homework p. 1 Name: 1.1 Angles, Degrees, and Arcs Find the fraction of a counterclockwise revolution that will form an angle with the indicated number of degrees. 3(a). 45 3(b). 150 3(c).
More informationTrigonometry Math 076
Trigonometry Math 076 133 Right ngle Trigonometry Trigonometry provides us with a way to relate the length of sides of a triangle to the measure of its angles. There are three important trigonometric functions
More informationTriangles and Vectors
Chapter 3 Triangles and Vectors As was stated at the start of Chapter 1, trigonometry had its origins in the study of triangles. In fact, the word trigonometry comes from the Greek words for triangle measurement.
More informationMTH 133: Plane Trigonometry
MTH 133: Plane Trigonometry The Trigonometric Functions Right Angle Trigonometry Thomas W. Judson Department of Mathematics & Statistics Stephen F. Austin State University Fall 2017 Plane Trigonometry
More informationSECTION A. Q. 1. Solve the following system of linear equations: Ans.
SECTION A Q. 1. Solve the following system of linear equations: Two years ago, a father was five times as old as his son. Two years later, his age will be 8 more than three times the age of the son. Find
More information8.6 Inverse Trigonometric Ratios
www.ck12.org Chapter 8. Right Triangle Trigonometry 8.6 Inverse Trigonometric Ratios Learning Objectives Use the inverse trigonometric ratios to find an angle in a right triangle. Solve a right triangle.
More information10-1 L E S S O N M A S T E R. Name. Vocabulary. 1. Refer to the diagram at the right. Fill in the blank. a. The leg adjacent to is.
L E S S O N M S T E R Vocabular 10 Questions on SPUR Objectives 1. Refer to the diagram at the right. Fill in the blank. a. The leg adjacent to is. b. The leg opposite is. c. The hpotenuse is. C 2. Fill
More information5-10 Indirect Measurement
1. A basketball hoop in Miguel s backyard casts a shadow that is 8 feet long. At the same time, Miguel casts a shadow that is 4.5 feet long. If Miguel is 5.5 feet tall, how tall is the basketball hoop?
More information( 3 ) = (r) cos (390 ) =
MATH 7A Test 4 SAMPLE This test is in two parts. On part one, you may not use a calculator; on part two, a (non-graphing) calculator is necessary. When you complete part one, you turn it in and get part
More informationThe volume of a sphere and the radius of the same sphere are related by the formula:
Related Rates Today is a day in which we explore the behavior of derivatives rather than trying to get new formulas for derivatives. Example Let s ask the following question: Suppose that you are filling
More informationConstants: Acceleration due to gravity = 9.81 m/s 2
Constants: Acceleration due to gravity = 9.81 m/s 2 PROBLEMS: 1. In an experiment, it is found that the time t required for an object to travel a distance x is given by the equation = where is the acceleration
More informationConstants: Acceleration due to gravity = 9.81 m/s 2
Constants: Acceleration due to gravity = 9.81 m/s 2 PROBLEMS: 1. In an experiment, it is found that the time t required for an object to travel a distance x is given by the equation = where is the acceleration
More informationSpecial Angles 1 Worksheet MCR3U Jensen
Special Angles 1 Worksheet 1) a) Draw a right triangle that has one angle measuring 30. Label the sides using lengths 3, 2, and 1. b) Identify the adjacent and opposite sides relative to the 30 angle.
More informationCourse End Review Grade 10: Academic Mathematics
Course End Review Grade 10: Academic Mathematics Linear Systems: 1. For each of the following linear equations place in y = mx + b format. (a) 3 x + 6y = 1 (b) 4 x 3y = 15. Given 1 x 4y = 36, state: (a)
More informationRelated Rates Problems. of h.
Basic Related Rates Problems 1. If V is the volume of a cube and x the length of an edge. Express dv What is dv in terms of dx. when x is 5 and dx = 2? 2. If V is the volume of a sphere and r is the radius.
More information4.4 Solving Problems Using
4.4 Solving Prolems Using Otuse Triangles YOU WILL NEED calculator ruler EXPLORE The cross-section of a canal has two slopes and is triangular in shape. The angles of inclination for the slopes measure
More informationCHAPTER 9. Trigonometry. The concept upon which differentiation of trigonometric functions depends is based
49 CHAPTER 9 Trigonometry The concept upon which differentiation of trigonometric functions depends is based on the fact that sin = 1. " 0 It should be remembered that, at the Calculus level, when we talk
More informationAQA Maths M2. Topic Questions from Papers. Moments and Equilibrium
Q Maths M2 Topic Questions from Papers Moments and Equilibrium PhysicsndMathsTutor.com PhysicsndMathsTutor.com 11 uniform beam,, has mass 20 kg and length 7 metres. rope is attached to the beam at. second
More informationSection 5.1 Exercises
Section 5.1 Circles 79 Section 5.1 Exercises 1. Find the distance between the points (5,) and (-1,-5). Find the distance between the points (,) and (-,-). Write the equation of the circle centered at (8,
More information