This document contains 26 problems involving trigonometric functions to find unknown angle measures. The problems provide a trigonometric ratio equal to a given value and ask the user to find the measure of the corresponding angle. The answers are provided to the nearest degree.

1. Kuta Software - Infinite Algebra 1 Name___________________________________
Using Trigonometry to Find Angle Measures Date________________ Period____
Find each angle measure to the nearest degree.
1) tan A = 2.0503 2) cos Z = 0.1219
3) tan Y = 0.6494 4) sin U = 0.8746
5) cos V = 0.6820 6) sin C = 0.2756
Find the measure of the indicated angle to the nearest degree.
7) 8)
27
19
55 51 ?
?
9) 10)
55 24
34 14
? ?
11) 12)
8
29
?
? 20
38
13) 14)
56
34 ?
? 52
42
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2. 15) 16)
18
17
?
13
?
8
17) 18)
54
?
34
51
?
39
19) 20)
26
?
19
16
45
?
21) 22)
95 21
? ?
76 57
72 75
23) 24)
72
33 44
?
65
55 97 ?
25) 26)
74
?
? 24
65 70
56
33
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3. Kuta Software - Infinite Algebra 1 Name___________________________________
Using Trigonometry to Find Angle Measures Date________________ Period____
Find each angle measure to the nearest degree.
1) tan A = 2.0503 2) cos Z = 0.1219
64° 83°
3) tan Y = 0.6494 4) sin U = 0.8746
33° 61°
5) cos V = 0.6820 6) sin C = 0.2756
47° 16°
Find the measure of the indicated angle to the nearest degree.
7) 8)
27
19
55 51 ?
45°
?
68°
9) 10)
55 24
34 14
? ?
38° 36°
11) 12)
8
29
?
? 20
38
22°
37°
13) 14)
56
34 ?
? 52
42
22°
39°
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4. 15) 16)
18
17
?
13
?
8 44°
62°
17) 18)
54
?
34
51
?
39 71°
41°
19) 20)
26
?
19
16
45
?
57°
55°
21) 22)
95 21
? ?
76 57
72 75
53°
74°
23) 24)
72
33 44
?
65
55 97 ?
53°
48°
25) 26)
74
?
? 24
65 70
56
71°
33
31°
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