1. Which of the following segment lengths could be used to form a right triangle? A. 15, 36, 39 B. 3, 4, 7 C. 21, 45, 51 D.
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1 This review is due on the day of your test: p 1 Multiple Choice. Choose the answer that best fits the solution. 1. Which of the following segment lengths could be used to form a right triangle? A. 15, 36, 39 B. 3, 4, 7 C. 21, 45, 51 D. 22, 72, Classify the triangle based on the side lengths 11 cm, 60 cm, and 63 cm? A. acute B. obtuse C. right D. not a triangle 3. In the right triangle, x and y represent unknown side lengths. What is the length of side x? A. 2 B. 4 x 60 2 C. 2 3 D y
2 This review is due on the day of your test: p 2 4. In the figure, what is the distance a ball travels when thrown from second base to home plate on the little league field? A. 49 feet B feet C. 150 feet D feet 5. What is tan x in the right triangle? A B B. C. D C x A 6. What is the value of x in the right triangle? A. 32 cos 35 B. cos C. 32 sin 35 D. 32 cos 35
3 This review is due on the day of your test: p 3 7. Dante is standing at ground level with the base of the Empire State Building in New York City. The angle formed by the ground and a line segment from his position to the top of the building is The height of the Empire State Building is 1472 feet. Find the distance that he is standing from the base of the Empire State Building to the nearest foot. A feet B. 662 feet C. 775 feet D feet 8. In the figure, ABC is a right triangle with the hypotenuse AB. The segments lengths are given for CB = 13, AD = 12, CD = 3, and DB = 2. What is cos B? C A. 13 B C D A D B 9. What is the geometric mean between 20 and 35? A B. 7 7 C. 490 D
4 This review is due on the day of your test: p Find the measure of angle Y in right triangle WHY. Round the answer to the nearest tenth. A B. 1.7 C D Use the figure to answer # In the figure, what is the value of x? A. 115 C. 4.6 B D In the figure, what is the value of y? A. 115 C B. 28 D In the figure, what is the value of z? A C. 644 B D
5 This review is due on the day of your test: p In the figure, what is the value of h? Round your answer to the nearest hundredth. A C B D In the figure at the right, what is the value of a? 7 3 A. C B. 7 3 D In the figure at the right, what is the value of b? 7 A. C B D
6 This review is due on the day of your test: p When hiking up Mt. Faux, the trail starts at 8500 feet and the trail is 4 mi in a straight line from the trailhead to the peak of the mountain. If the angle of elevation from the trailhead of the mountain to the peak is 40 degrees, at what elevation is the peak? A. 45,982 feet C. 13,576 feet B. 19,353 feet D. 22,076 feet 18. Which of the following is the length of side x? Round to the nearest tenth. A. x = 7.1 B. x = 9.2 C. x = 16.0 D. x = x 19. Which of the following is the length of side x? Round to the nearest tenth. A. x = 30.2 B. x = 24.2 C. x = 16.0 D. x = x In the figure, what is the value of x? Round to the nearest tenth. A C B D. 46.8
7 This review is due on the day of your test: p Find the area of the triangle to the nearest tenth. A. 19.7m 2 C. 9.9m 2 B. 142m 2 D. 8.6m 2 Free Response. SHOW ALL WORK! Round to the nearest tenth, unless stated otherwise. 22. José has locked himself out his house. Fortunately, he did leave an upstairs window open and does have access to an extension ladder. The ladder, when fully extended safely, will extend to 32 feet. For optimal safety reasons, he wants to maintain a 60-degree angle with the ground. If he extends the ladder to 18 feet, (a) how far will the base have to be away from the wall and (b) how high up on the wall will the ladder reach? a) b)
8 This review is due on the day of your test: p Solve the triangle. Show all your work. Round angle measurements to the nearest degree and side length to the nearest tenth. 24. In the diagram below, <BCA and <EGB are right angles, BEF is isosceles, CD is an altitude of ABC, and EG is an altitude of BEF. If DB = 7 feet, CD = 9 feet, BF = 11 feet, and EG = 6 feet, what is AE? Round intermediate and final answer to the tenths, if needed. 25. A pilot flying at an altitude of 2.7 km sights two control towers directly in front of her. The angle of depression to the base of one tower is 40 degrees and the angle of depression to the base of the other tower is 62 degrees. What is the distance between the two towers?
Show all work for full credit. Do NOT use trig to solve special right triangle problems (half credit).
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