Name: Period: Geometry Unit 5: Trigonometry Homework. x a = 4, b= a = 7, b = a = 6, c = a = 3, b = 7
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1 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 hundredths place ft. 2 in 3 in 50ft 3 a in 1in 20 b a =, b=. a =, b = 11. a = 6, c = a = 3, b = The numbers represent the lengths of the sides of a triangle. Classif each triangle as acute, obtuse, or right ,, 1., 2, , 0, 1 16., 2, , 5, 6 Answer each word problem. Round each solution to the nearest hundredth. Draw a picture to help ou.. The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall? 1. How far from the base of the house do ou need to place a -foot ladder so that it eactl reaches the top of a 12 - foot tall wall? 20. A suitcase measures 2 inches long and inches high. What is the length from corner to corner? REVIEW: Simplif. Leave answers as simplified radicals HOW TO for the REVIEW 1. Multipl the top and the bottom b the radical in the bottom 2. Simplif the radical in the bottom (Remember = = ) 3. Reduce the fraction if possible
2 Section 5.2: Special Right Triangles Find the value of the variable. Leave answers in simplest radical form d 25 1 a c b z.. s s 6 s 2 s 5 Bonus Problems: Find the value of each variable p r a q s b w 5 z 5 REVIEW: Identif whether each line is a midsegment, altitude, angle bisector, perpendicular bisector, or median. 1. A 2. A 3. R. A 5. F O D B D E C P Q L B C C E B
3 Section 5.3: Sine, Cosine, and Tangent Find the value of. Round answers to the hundredths place w w An escalator at a shopping center is 200 ft long, and rises at an angle of º. What is the vertical rise of the escalator to the nearest tenth of a foot? 1. A 12-ft-long ladder is leaning against a wall and makes a 6º angle with the ground. How high does the ladder reach on the wall? Round to the nearest inch. 20. A straight ramp rises at an angle of 25.5º and has a base 30 ft long. How high is the ramp? Round to the nearest foot. REVIEW: MY, PX, and NZ are medians. 1. Find the measure of WY if MW = What is NW if ZW =? 3. If PW = 13, what is WX? M Z X W Y N
4 Section 5.: Finding Angles Using Trig Find the value of each variable. Round to the nearest hundredth Review: Draw a diagram to help solve each problem. 1. A tree 2 feet tall casts a shadow 12 feet long. Ma is 6 feet tall. How long is Ma's shadow? 2. A model plane has a scale of 1 in : 6 d. If the model plane is 5.6 in tall then how tall is the real plane? 3. A ft tall statue standing net to an adult elephant casts a ft shadow. If the adult elephant is ft tall then how long is its shadow?
5 Section 5.5: Angles of Elevation and Depression Find the value of. Round the lengths to the nearest hundredth Draw a diagram to find the missing value. Round to the nearest hundredth.. A person is standing 0 ft from a flagpole and can see the top of the pole at a 35º angle of elevation. The person s ee level is ft from the ground. What is the height of the flagpole?. An eagle perched 0 ft up in a tree looks down at a 35º angle and spots a vole. How far is the vole from the eagle?. You stand 0 ft from a tree. The angle of elevation from our ees (5 ft above the ground) to the top of the tree is º. How tall is the tree?. An airplane is fling at an altitude of,000 ft. The airport at which it is scheduled to land is 50 mi awa. Find the average angle at which the airplane must descend for landing. 11. A lake measures 600 ft across. A lodge stands on one shore. From our point on the opposite shore, the angle of elevation to the top of the lodge is º. How high above the lake does the lodge stand? 12. A librar needs to build an access ramp for wheelchairs. The main entrance to the librar is ft above sidewalk level. If the architect designs the slope of the ramp in such a wa that the angle of elevation is 5º, how long must the access ramp be?
6 Unit 5 Practice Test Find the eact value of each side. Epress in simplest radical form. Circle our answers. [5 points each] Find the missing side to the nearest hundredth. [5 points each] w Find the missing angle to the nearest hundredth. [5 points each] Draw a diagram to solve each problem. [5 points each: 2 points for the diagram, 3 points for the correct answer] 13. Twent minutes after being launched, a hot-air balloon has risen to an altitude of 1200 ft. The pilot can still see the starting point on the ground at a 50 angle of depression. How man feet is the balloon from the starting point? 1. A 20 ft ladder leans against a wall at an angle of elevation of 33. How high up the wall does the ladder rest?. An airplane is fling at an altitude of 5,000 ft. The airport at which it is scheduled to land is 0 mi awa. Find the average angle at which the airplane must descend for landing. (1 mile = 520 feet) Solve for. Leave answers as simplified radicals
Name: Period: Geometry Honors Unit 5: Trigonometry Homework. x a = 4, b= a = 7, b = a = 6, c =
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