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Geometry
Trig Review
Find each trigonometric ratio. Round to four decimal places, if necessary.
1. sin Q
2.
cos Q
3.
Tan P
Find the value of the variable.
4.
5.
6.
7. A train travels 5000 meters along a track whose angle of elevation has a measurement of 3°.
How much did the train rise during this distance? Round to the nearest tenth.
8. Find each missing measure. Round to the nearest tenth.
9. If the leg adjacent to a 29° angle in a right triangle is 9 feet long, what is the measure of the
other leg to the nearest tenth?
10. A house is located below a hill that has a satellite dish. If MN = 450 feet and RN = 120 feet,
what is the measure of the angle of elevation to the top of the hill?
11. Mandy is at the top of the Mighty Screamer roller coaster. Her friend Bryn is at the bottom
of the coaster waiting for the next ride. If the angle of depression from Mandy to Bryn is 26°
and OL is 75 feet, what is the distance from L to C?
12. Mitchell is at the top of the Bridger Peak ski run. His brother Scott is looking up from the
ski lodge at I. If the angle of elevation from Scott to Mitchell is 13° and the distance from K to I
is 2000 ft, what is the length of the ski run SI?
A is an acute angle. Find mA to the nearest tenth of a degree.
13. sin A = 0.85
14. tan A = 2.13
15. cos A = 0.87
16. sin A = 0.06
17. cos A = 0.15
20. tan A = 0.84
18. tan A = 1.05
19. sin A = 0.42
Solve the right triangles. Round decimals to the nearest tenth.
21.
22.
23.
24.
25.
26.
27.
28.
29.
Find each trigonometric ratio as a fraction in lowest terms.
30. QS
31. mQ
32. mS
A is an acute angle. Find mA to the nearest tenth of a degree.
33. tan A = 0.5
34. tan A = 1.0
35. sin A = 0.5
36. sin A = 0.35
37. cos A = 0.25
40. sin A = 0.11
38. cos A = 0.64
39. tan A = 2. 2
Solve the right triangles. Round decimals to the nearest tenth.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
Use the diagram to find the indicated values. Round decimals to the nearest tenth.
53. tan B =
54. mB =
55. AB =
56. sin A =
57. You are hiking up a mountain peak. You begin hiking at trailhead whose elevation is about
9400 feet. The trail ends near the summit at 14,255 feet. The horizontal distance between these
two points is about 17,625 feet. Estimate the angle of elevation from the trailhead to the
summit.