ID: 1
Math 11UE - Mr. Duncan
Name___________________________________
10.1 Sin, Cos, and Tan - Practice Problems
Date________________
Find the value of each trigonometric ratio.
1) sin Z
2) sin Z
30
Y
X
Z
37
12
40
Y
50
Z
35
X
3) cos A
4) cos C
50
C
A
A
30
40
34
30
B
C
5) tan Z
X
B
16
6) tan A
41
40
Z
29
A
C
9
20
Y
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21
B
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Find the missing side. Round to the nearest tenth.
7)
8)
73°
16
55°
x
x
16
9)
10)
17
x
53°
44°
20
x
11)
12)
59°
16
63°
x
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x
12
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Find the measure of the indicated angle to the nearest degree.
13)
14)
24
?
19
?
14
15)
13
16)
50
?
27
31
?
13
17)
18)
18
13
?
6
30
?
Solve the following word problems. For each question, draw a diagram to help you.
19) 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?
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20) 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.
21) 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.
22) 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?
23) A wheelchair ramp is 4.2 m long. It rises 0.7 m. What is its angle of inclination to the nearest
degree?
24) 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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-4-
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Answers to 10.1 Sin, Cos, and Tan - Practice Problems (ID: 1)
4
5
8
4)
17
7) 15.3
10) 28.2
13) 36°
16) 65°
19) 24 km
22) 35.4 m
1)
12
37
40
5)
9
8) 19.5
11) 26.6
14) 43°
17) 18°
20) 26.0 m
23) 10°
3
5
21
6)
20
9) 14.4
12) 6.1
15) 57°
18) 23°
21) 80°
24) 80 m high, 157 m away
2)
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3)
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