Download Geometry Right Triangle Trigonometry

Geometry
Name___________________________________
Right Triangle Trigonometry
Date________________ Block____
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Find the value of each trigonometric ratio to the nearest ten-thousandth.
1) sin 55°
2) sin 66°
3) sin A
4) cos C
B
16
30
C
A
34
41
40
C
B
5) cos C
9
A
6) tan C
A
B
30
16
20
12
C
B
16
34
A
C
Find the missing side. Round to the nearest tenth.
7)
8)
20°
69° x
x
20
18
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-1-
Worksheet by Kuta Software LLC
9)
10)
17
x
x
56°
48°
11
11)
12)
21°
x
20
x
10
46°
13)
14)
34°
10
17
55°
x
x
Round to the nearest foot...
15) From a point 55 feet away from the foot of a
tower, the angle of elevation of the top of the
tower is 60°. What is the height of the tower?
(HINT: Draw a picture!)
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16) The angle of depression from an approaching
airplane to an aircraft carrier is 52°. If the
plane is 700 feet above the sea level, how far
does it have to fly to reach the carrier? (HINT:
Draw a picture!)
-2-
Worksheet by Kuta Software LLC
Geometry
Name___________________________________
Right Triangle Trigonometry
Date________________ Block____
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Find the value of each trigonometric ratio to the nearest ten-thousandth.
1) sin 55°
2) sin 66°
0.8192
0.9135
3) sin A
B
4) cos C
16
30
C
A
34
41
40
C
0.8824
B
9
A
0.9756
5) cos C
6) tan C
A
B
30
16
20
12
C
B
16
34
A
C
1.8750
0.8000
Find the missing side. Round to the nearest tenth.
7)
8)
20°
69° x
x
20
18
6.8
6.9
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-1-
Worksheet by Kuta Software LLC
9)
10)
17
x
x
56°
48°
11.5
11
16.4
11)
12)
21°
x
20
x
10
46°
7.2
13.9
13)
14)
34°
10
17
55°
x
x
11.9
5.6
Round to the nearest foot...
15) From a point 55 feet away from the foot of a
tower, the angle of elevation of the top of the
tower is 60°. What is the height of the tower?
(HINT: Draw a picture!)
95 feet
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16) The angle of depression from an approaching
airplane to an aircraft carrier is 52°. If the
plane is 700 feet above the sea level, how far
does it have to fly to reach the carrier? (HINT:
Draw a picture!)
888 feet
-2-
Worksheet by Kuta Software LLC