Kuta Software - Infinite Geometry
Name___________________________________
Inverse Trigonometric Ratios
Date________________ Period____
Find each angle measure to the nearest degree.
1) sin B = 0.4848
2) sin A = 0.5150
3) cos A = 0.7431
4) cos W = 0.6157
5) cos A = 0.5878
6) tan W = 19.0811
7) cos A = 0.4226
8) tan W = 0.5317
Find the measure of the indicated angle to the nearest degree.
9)
10)
9
27
?
?
21
38
11)
12)
14
?
42
29
40
?
13)
14)
39
27
10
11
?
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-1-
Worksheet by Kuta Software LLC
15)
16)
12
?
20
13
?
24
17)
18)
8
?
5
6
?
4
19)
20)
14
51
?
68
85
48
50
?
21)
22)
7
34
?
16
?
30
25
23)
24
24)
68
?
?
56
51
70
85
42
Critical thinking questions:
25) Find an angle x where sin x = cos x.
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26) Draw and label all three sides of a right
triangle that has a 40° angle and a
hypotenuse of 10 cm.
-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Name___________________________________
Solving Right Triangles
Date________________ Period____
Find the missing side. Round to the nearest tenth.
1)
2)
x
6
72°
73°
6
x
3)
4)
x
x
24°
37°
12
12
5)
6)
x
14
49°
14
51°
x
7)
8)
x
16
15°
x
16
63°
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-1-
Worksheet by Kuta Software LLC
9)
10)
29
x
x
21
68°
55°
11)
12)
x
21°
x
22
29
19°
13)
14)
29
35
33°
45°
x
x
15)
16)
47°
28
34
x
59°
x
Critical thinking question:
17) Write a new problem that is similar to the
others on this worksheet. Solve the
question you wrote.
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-2-
Worksheet by Kuta Software LLC
28°
15°
26°
?
38
35°
?
?
39
29
27
14
10
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13)
11)
9)
-1-
14)
12)
10)
24°
72°
?
42
23°
?
?
27
40
21
8) tan W = 0.5317
87°
6) tan W = 19.0811
52°
4) cos W = 0.6157
31°
2) sin A = 0.5150
11
9
Worksheet by Kuta Software LLC
Date________________ Period____
Name___________________________________
Find the measure of the indicated angle to the nearest degree.
65°
7) cos A = 0.4226
54°
5) cos A = 0.5878
42°
3) cos A = 0.7431
29°
1) sin B = 0.4848
Find each angle measure to the nearest degree.
Inverse Trigonometric Ratios
Kuta Software - Infinite Geometry
?
37°
51
74°
25
?
7
16°
48
41°
6
?
30°
12
?
85
68
24
50
14
8
24
?
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45°
25) Find an angle x where sin x = cos x.
Critical thinking questions:
23)
21)
19)
17)
15)
51
?
37°
56
28°
16
53°
85
?
37°
49°
20
34
70
13
?
68
30
?
42
4
5
?
-2-
Sides are: 10 cm, 6.4 cm, and 7.7 cm.
26) Draw and label all three sides of a right
triangle that has a 40° angle and a
hypotenuse of 10 cm.
24)
22)
20)
18)
16)
Worksheet by Kuta Software LLC
14
x
4)
18.0
63°
x
12.2
x
49°
5.3
16
12
24°
-1-
8)
6)
61.8
18.0
51°
x
9.0
x
15°
12
37°
x
1.8
6
73°
72°
19.4
6
2)
14
x
16
Worksheet by Kuta Software LLC
Date________________ Period____
Name___________________________________
x
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7)
5)
3)
1)
Find the missing side. Round to the nearest tenth.
Solving Right Triangles
Kuta Software - Infinite Geometry
19°
41.1
28
47°
15.8
x
9.4
29
x
20.3
29
x
29
33°
55°
x
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Many answers.
17) Write a new problem that is similar to the
others on this worksheet. Solve the
question you wrote.
Critical thinking question:
15)
13)
11)
9)
-2-
16)
14)
12)
10)
66.0
49.5
45°
7.9
x
52.0
x
x
x
21°
34
59°
35
22
68°
21
Worksheet by Kuta Software LLC