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Finding Missing Sides and Angles in Right Triangles

Total questions: 35

Worksheet time: 1hrs 2mins

Name
Class
Date
1.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

2.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
3.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
4.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
5.
Solve for x. Round to the nearest tenth.
a)
44.0
b)
41.4
c)
1.2
d)
1.0
6.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
7.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
8.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
9.
What equation can be used to solve for x?
a)
Sin(40°)= x/40 
b)
Sin(40º)=x/19
c)
Cos(40º)=x/19
d)
Tan(40°)=19/x
10.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
11.
Find the measurement of the missing side indicated
a)
4.39
b)
3.21
c)
2.19
d)
2.05
12.
Find the measurement of the missing side indicated
a)
4.98
b)
5.98
c)
3.20
d)
4.18
13.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
14.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
15.
Find the measure of the angle.  Round to the nearest tenth. 
a)
66.4
b)
63.4
c)
47.8
d)
69.4
16.
Find the measure of the angle.  Round to the nearest tenth. 
a)
30.8
b)
32.1
c)
34.3
d)
36.9
17.
Find the measure of the angle.  Round to the nearest tenth. 
a)
40.4
b)
43.4
c)
48.2
d)
41.3
18.
What is the measure of angle x? 
a)
73.74 degrees
b)
16.26 degrees
c)
148 degrees
d)
180 degrees
19.
Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle
a)
49°
b)
57°
c)
45°
d)
54°
20.
Find the missing angle
a)
15
b)
37
c)
66
d)
72
21.
What is the correct equation to solve for x ?
a)
tan (58) = x/11
b)
tan (58) = 11/x
c)
cos (58) = x/11
d)
sin (58) = x/11
22.
What is the correct equation to solve for x?
a)
tan (45) = x/13
b)
cos (45) = x/13
c)
sin (45) = 13/x
d)
sin (45) = x/13
23.
From ∠C, what side is AB?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
24.
Which is the ratio of the opposite leg to the hypotenuse in a right triangle?
a)
sine
b)
cosine
c)
tangent
d)
secant
25.
What is the sin R?
a)
13/5
b)
5/13
c)
13/12
d)
12/13
26.
Find the tan A.
a)
3/4
b)
4/5
c)
4/3
d)
3/5
27.

Find the measure of side x. Round to the nearest tenth.

a)

9.5

b)

16.6

c)

26.5

d)

24.1

28.

Find the measure of side x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

29.
Find the ratio for sinA. (Reduce the fraction)
a)
36/27
b)
4/5
c)
36/45
d)
3/5
30.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
31.
What would you use to solve for a?
a)
sin
b)
cos
c)
tan
d)
Pythagorean theorem
32.
Set up the problem...
a)
sin X = 41/28
b)
tan X = 41/28
c)
cos X = 28/41
d)
sin X = 28/41
33.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
34.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
35.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40