Teacher: S. Mubango
Student’s Name:__________________________________
Sine, Cosine, and Tangent Practice
Find the value of each trigonometric ratio. Express your answer as a fraction in lowest terms.
1) sin C
2) sin C
A
A
50
29
C
C
4) cos C
A
39
36
A
15
17
B
15
C
5) tan A
8
B
6) tan X
C
37
A
B
40
B
20
3) cos C
C
30
21
Z
12
45
35
36
B
X
27
Y
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LLC
Find the measure of the indicated angle to the nearest degree.
6)
7)
44
26
?
?
39
33
8)
9)
24
20
?
?
36
23
10)
11)
10
33
?
?
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13
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16
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STRETCH
Solve the following word problems. For each question, draw a diagram to help you.
12. An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a
certain time, the angle of depression to the coastline from the airplane is 14°. How much
farther (to the nearest kilometer) does the airplane have to fly before it is directly above the
coastline?
13. From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18°.
Calculate the height of the flagpole to the nearest tenth of a metre.
14. A 9.0 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base
of the wall. Determine the measure of the angle between the ladder and the ground, to the
nearest degree.
15. The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 m long. How tall is the
tree, to the nearest tenth of a metre?
16. A wheelchair ramp is 4.2 m long. It rises 0.7 m. What is its angle of inclination to the
nearest degree?
17. A person flying a kite has released 176 m of string. The string makes an angle of 27° with
the ground. How high is the kite? How far away is the kite horizontally? Answer to the
nearest metre.
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Answers to Sine, Cosine, and Tangent Practice
21
1) 29
8
4) 17
3
2) 5
12
5) 35
12
3) 13
4
6) 3
7) 62°
10) 30°
8) 52°
11) 17°
9) 48°
12) 39°
13) 24 km
16) 15 m
14) 26.0 m
17) 10°
15) 80°
18) 80 m high, 157 m away
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