Download Geometry - SOH CAH TOA

Geometry
Name___________________________________
SOH CAH TOA
Date________________ Period____
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Find the value of each trigonometric ratio to the nearest ten-thousandth.
1) sin 16°
2) cos 54°
3) tan 88°
Find the missing side. Round to the nearest tenth.
5)
4)
38°
x
26°
x
20
17
6)
7)
x
x
69°
18
33°
16
8)
9)
x
15
x
22°
47°
19
10)
11)
15
45°
x
x
63°
11
Find the value of each trigonometric ratio.
12) sin X
Y
24
Z
18
30
X
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-1-
Worksheet by Kuta Software LLC
13) cos A
14) tan X
A
26
X
Z
45
10
24
27
Y
B
C
36
Find each angle measure to the nearest degree.
15) sin A = 0.4067
16) cos Z = 0.9272
17) tan W = 0.1584
Find the measure of the indicated angle to the nearest degree.
18)
19)
37
32
20
?
?
33
20)
21)
?
28
11
12
17
?
22)
23)
87
63
40
43
?
?
60
24)
45
60
?
25)
24
75
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70
74
?
-2-
Worksheet by Kuta Software LLC
Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded
values to calculate the next value. Round your final answer to the nearest tenth.
26)
27)
62°
34°
x
33
20
70°
x
38°
Find the area of each triangle. Round intermediate values to the nearest tenth. Use the rounded values to
calculate the next value. Round your final answer to the nearest tenth.
29)
28)
46°
53°
35°
22
66°
39
Find the area of each figure. Round your answer to the nearest tenth.
30)
31)
8 cm
Perimeter = 14 cm
32)
4 km
4 km
140°
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33) Find m∠SDE if m∠CDE = 24 x,
m∠CDS = 65°, and m∠SDE = 13 x + 1.
C
D
S
E
-3-
Worksheet by Kuta Software LLC
Geometry
Name___________________________________
SOH CAH TOA
Date________________ Period____
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Find the value of each trigonometric ratio to the nearest ten-thousandth.
1) sin 16°
0.2756
2) cos 54°
0.5878
3) tan 88°
28.6363
Find the missing side. Round to the nearest tenth.
4)
5)
38°
x
26°
x
20
17
27.6
6)
22.3
7)
x
x
69°
18
33°
16
11.7
6.1
8)
9)
x
15
x
22°
47°
40.0
19
13.0
10)
11)
15
45°
x
x
10.6
63°
11
24.2
Find the value of each trigonometric ratio.
4
12) sin X
5
Y
24
Z
18
30
X
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-1-
Worksheet by Kuta Software LLC
3
5
13) cos A
5
12
14) tan X
A
26
X
Z
45
10
24
27
Y
B
C
36
Find each angle measure to the nearest degree.
15) sin A = 0.4067
24°
16) cos Z = 0.9272
22°
17) tan W = 0.1584
9°
Find the measure of the indicated angle to the nearest degree.
18)
19)
37
32
20
?
?
33
39°
27°
20)
21)
?
28
11
12
17
?
21°
45°
22)
23)
87
63
40
43
?
?
60
46°
22°
24)
45
60
?
25)
24
75
70
74
?
37°
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19°
-2-
Worksheet by Kuta Software LLC
Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded
values to calculate the next value. Round your final answer to the nearest tenth.
26)
27)
62°
34°
x
33
20
70°
38°
x
7.1
50.4
Find the area of each triangle. Round intermediate values to the nearest tenth. Use the rounded values to
calculate the next value. Round your final answer to the nearest tenth.
29)
28)
46°
53°
35°
22
66°
357.8
39
2693.1
Find the area of each figure. Round your answer to the nearest tenth.
30)
31)
8 cm
27.7 cm²
Perimeter = 14 cm
14.5 cm²
32)
4 km
4 km
140°
33) Find m∠SDE if m∠CDE = 24 x,
m∠CDS = 65°, and m∠SDE = 13 x + 1.
C
5.1 km²
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D
S
E
79°
-3-
Worksheet by Kuta Software LLC