Study Island Copyright 2014 Edmentum - All rights reserved. Generation Date: 04/01/2014 Generated By: Cheryl Shelton Title: 10th Grade Geometry Right Angle Trig 1. A lamp illuminates an area that is 12 feet diagonally at an angle of 40 from the ground to the top of the lamp. Note: picture not drawn to scale Which equation can be used to find the horizontal length, r, of the illuminated area? A. B.
C. D. 2. If n = 5.3 cm and p = 6.25 cm, what is the measure of angle? A. 32 B. 50 C. 58 D. 40 3. Robert sees a bird sitting on top of a telephone pole. He estimates the angle of elevation to the top of the pole to be 52. If he is standing 15 feet from the base of the pole, about how tall is the telephone pole? (Assume the pole meets the ground at a right angle.) A. 19 feet B. 9 feet C. 12 feet
D. 11 feet 4. Brian and Ben are playing golf and both of their golf balls have landed on a flat portion of the green. The distance, d, between Ben's golf ball and Brian's golf ball is 10 feet. If = 30, then about how far is Ben's golf ball from the center of the hole? A. 9 feet B. 5 feet C. 6 feet D. 12 feet 5. An apple that was 4 meters off the ground was blown off a tree. The angle between the final position of the apple and the original position of the apple was 35.
Note: picture not drawn to scale Which equation can be used to find the horizontal distance, r, that the apple was displaced? A. B. C. D. 6. Which of the following functions is equal to cos(89 )? A. sin(89 ) B. sec(89 ) C. sec(1 ) D. sin(1 )
7. The manager of a gas station has attached a cable with flags on it to a light pole in order to attract more business. The cable is attached 15 feet above the base of the light and forms a 50 angle at the ground. Note: picture not drawn to scale Which equation can be used to find the length of the cable, r? A. B. C. D. 8. Which of the following functions is equal to cos(90 - )? A. sec( ) B. sin( ) C. tan(90 - ) D. csc(90 - )
9. An engineer erects a 76 foot vertical cellular phone tower. What is the approximate angle of elevation to the top of the tower from the ground 101 feet from its base? A. 41 B. 53 C. 37 D. 49 10. A camper wants to know the width of a river. From point A, he walks downstream 120 feet to point B and sights a canoe across the river. It is determined that = 31. About how wide is the river? A. 200 feet B. 62 feet C. 103 feet D. 72 feet 11. Which of the following functions is equal to sin(16 )? A. cos(74 ) B. cos(16 ) C. csc(74 ) D. csc(16 ) 12. When opened completely, a patio umbrella's horizontal length is 5 feet and the wire frame is 20 from the horizontal.
Note: picture not drawn to scale Which equation can be used to find the length, r, of the cloth, as shown in the picture? A. B. C. D. 13.
Amy is standing 90 meters from the base of the Washington Monument in Washington, DC. She estimates that the angle of elevation to the top of the building is 80. One of her friends is at the top of the building. What is the approximate distance between Amy and her friend? (Assume the monument meets the ground at a right angle.) A. 16 meters B. 518 meters C. 510 meters D. 91 meters 14. Michael is constructing a boat ramp. He knows that the angle of elevation of the ramp is 25. If the distance from the bottom of the boat ramp to the top of the boat ramp is 30 feet, what is the approximate height of the boat ramp? A. 13 feet B. 64 feet C. 33 feet D. 71 feet
15. Nicole is playing a baseball game on her computer. Her player is on second base. The distance on the screen from third base to the pitcher's mound is 9 cm. The angle at second base is 55, as shown in the figure below. Note: picture not drawn to scale Which equation can be used to find the length, r, between second and third base on the screen? A. B. C. D. 16.
A firefighter needs to rescue a person from a burning building. The person is located 80 feet up in the building. If the base of the ladder is on top of a 10 foot tall fire truck and the ladder is 95 feet long, what is the approximate angle of elevation for the rescue ladder? A. 54 B. 36 C. 47 D. 43 17. Which of the following functions is equal to sin(90 - )? A. cot(90 - ) B. csc( ) C. csc(90 - ) D. cos( ) 18. Daniel sees a lighthouse in the harbor. He estimates the angle of elevation is 70. If the lighthouse is 80 feet tall, what is the approximate distance between Daniel and the top of the lighthouse? (Assume the lighthouse meets the ground at a right angle.) A. 75 feet B. 85 feet C. 234 feet D. 29 feet 19. If m = 6.25 cm and n = 10 cm, what is the measure of angle?
A. 51 B. 32 C. 39 D. 58 20. If h = 9.2 in and j = 3.9 in, what is the measure of angle? A. 23 B. 67 C. 65 D. 25 21. A student stands 120 feet in front of the school. The distance to the top of the flagpole from where the student is standing is 140 feet. What is the approximate angle of elevation to the top of the flagpole? A. 24 B. 31 C. 59 D. 41 22. Jaime is playing disc golf. He is standing across a creek from the basket at a 60 angle. Note: picture not drawn to scale Which equation can be used to find the distance, r, between him and the basket if he were to walk 5 more meters?
A. B. C. D. 23. If h = 9.2 in and k = 10 in, what is the measure of angle? A. 47 B. 43 C. 23 D. 67