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Finding a Missing Angle with Sine, Cosine, and Tangent

Total questions: 28

Worksheet time: 1hrs 3mins

Name
Class
Date
1.
Find the measure of the angle.  Round to the nearest tenth. 
a)
40.4
b)
43.4
c)
48.2
d)
41.3
2.
Find the measure of the angle.  Round to the nearest tenth. 
a)
30.8
b)
32.1
c)
34.3
d)
36.9
3.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
4.

Sin =

a)

opposite / adjacent

b)

opposite / hypotenuse

c)

adjacent / opposite

d)

adjacent / hypotenuse

5.

Cos =

a)

opposite / adjacent

b)

opposite / hypotenuse

c)

adjacent / opposite

d)

adjacent / hypotenuse

6.

Tan =

a)

opposite / adjacent

b)

opposite / hypotenuse

c)

adjacent / opposite

d)

adjacent / hypotenuse

7.

When you use trig and solve for angle you use the _______ function

a)

opposite

b)

reverse

c)

different

d)

inverse

8.

sin 0O =

a)

1

b)

0

c)

0.5

d)

√3

9.

cos 0o =

a)

1

b)

0

c)

0.5

d)

√3

10.

sin 90O =

a)

1

b)

0

c)

0.5

d)

√3

11.
If angle B is the focus angle, what would side BC be labeled as?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
12.
What is the ratio of cos(B)?
a)
24/25
b)
25/7
c)
7/25
d)
24/7
13.
Find the measure of AC.
a)
35 ft
b)
23.86 ft
c)
43 ft
d)
25.6 ft
14.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
15.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
33°
b)
49°
c)
39°
d)
41°
16.
 FInd tanX
a)
32/40
b)
40/24
c)
32/24
d)
24/32
17.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

18.
If angle B is the focus angle, what would side BC be labeled as?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
19.
Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle
a)
32°
b)
44°
c)
61°
d)
50°
20.
Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle
a)
33°
b)
49°
c)
39°
d)
41°
21.
Find the measure of the angle.  Round to the nearest tenth. 
a)
30.8
b)
32.1
c)
34.3
d)
36.9
22.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o
23.

Solve for x.

a)

25

b)

65

c)

error

d)

.0074

24.

Solve for x.

a)

50

b)

40

c)

41

d)

49

25.
Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle
a)
49°
b)
57°
c)
45°
d)
54°
26.
Find the measure of the angle.  Round to the nearest tenth. 
a)
66.4
b)
63.4
c)
47.8
d)
69.4
27.
A building 62 feet tall casts a shadow 21 meters long.  At what angle is the sun shining on the building?
a)
19.80
b)
18.71
c)
70.20
d)
71.29
28.
Solve for the missing angle.
a)
50
b)
0.053
c)
36.9
d)
95