WorksheetsRight Triangle Trig
Total questions: 39
Worksheet time: 1hrs 21mins
Name
Class
Date
1.
Set up the problem so that you can solve for X.
a)
sin X = 41/28
b)
tan X = 41/28
c)
cos X = 28/41
d)
sin X = 28/41
2.
Solve for the missing angle
a)
50.5 degrees
b)
12.7 degrees
c)
36.9 degrees
d)
72.2 degrees
3.
Solve for x. Round to the nearest tenth.
a)
15.3
b)
16.6
c)
24.1
d)
24.3
4.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
5.
Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
6.
What is the ratio for Tangent
a)
Opp/Adj
b)
Adj/Opp
c)
Opp/Hyp
d)
Hyp/Opp
7.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
8.
What is the correct ratio?
a)
9/41
b)
40/41
c)
9/40
d)
40/9
9.
What is the correct ratio?
a)
7/24
b)
24/7
c)
7/25
d)
24/25
10.
What is the correct ratio?
a)
20/12
b)
12/20
c)
12/16
d)
16/12
11.
What is the correct ratio?
a)
6/10
b)
6/8
c)
8/10
d)
8/6
12.
What is the correct equation to solve for x ?
a)
tan( 46 ) = 17/x
b)
sin ( 46 ) = x/17
c)
tan (46 ) = x/17
d)
cos (46) = x/17
13.
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
14.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
15.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
16.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
17.
Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
18.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
19.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
20.
Find the measure of the indicated angle.
a)
9.39
b)
55.2
c)
20.2
d)
19.4
21.
A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.
a)
4.1 inches
b)
3.9 inches
c)
22.7 inches
d)
0.7 inches
22.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
73.5
d)
68.6
23.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
24.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
.008o
25.
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
26.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
27.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
28.
a)
27/36
b)
27/45
c)
45/36
d)
45/27
29.
Sam views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.
a)
19o
b)
45o
c)
71o
d)
138o
30.
What is the length of the side opposite ∠X?
a)
16
b)
30
c)
34
31.
What is the length of the side opposite ∠Z?
a)
16
b)
30
c)
34
32.
What is the length of the side adjacent to ∠Z?
a)
16
b)
30
c)
34
33.
What is the length of the side adjacent to ∠A?
a)
30
b)
40
c)
50
34.
How can you identify the hypotenuse of any right triangle?
a)
the shortest side
b)
the side attached to the right angle
c)
the side directly across from the right angle
d)
the side directly across from the most acute angle
35.
Give the letter that represents the adjacent side of this triangle.
a)
x
b)
y
c)
r
d)
90o
36.
Give the letter that represents the opposite side of this triangle.
a)
g
b)
h
c)
k
d)
∠1
37.
Give the letter that represents the opposite side of this triangle.
a)
t
b)
w
c)
y
d)
∠1
38.
What is the side marked with an X?
a)
hypotenuse
b)
opposite side
c)
adjacent side
39.
A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.
a)
19 degrees
b)
45 degrees
c)
71 degrees
d)
138 degrees
100 %
