Font size
S
M
L
XL
WorksheetsTrigonometry Test Practice
Total questions: 100
Worksheet time: 6hrs 26mins
Name
Class
Date
1.
What is the ratio for Sine?
a)
Opposite Leg / Adjacent Leg
b)
Opposite Leg / Hypotenuse
c)
Adjacent Leg / Hypotenuse
d)
Adjacent Leg / Opposite Leg
2.
What is the ratio for Cosine?
a)
Opposite Leg / Adjacent Leg
b)
Opposite Leg / Hypotenuse
c)
Adjacent Leg / Hypotenuse
d)
Hypotenuse / Adjacent Leg
3.
What is the ratio for Tangent?
a)
Adjacent Leg / Opposite Leg
b)
Adjacent Leg / Hypotenuse
c)
Opposite Leg / Hypotenuse
d)
Opposite Leg / Adjacent Leg
4.
In Right Triangle ABC with right angle C. If the
Cos A = 3/5, what is the Sin B?
Cos A = 3/5, what is the Sin B?
a)
4/5
b)
5/3
c)
3/5
d)
4/3
5.
In right triangle DEF with right angle D. If
Tan E = 5/12, what is Tan F?
Tan E = 5/12, what is Tan F?
a)
12/5
b)
5/12
c)
12/13
d)
13/12
6.
Solve for DE
a)
36.5
b)
18.8
c)
8.5
d)
7.9
7.
Solve for WI
a)
7.9
b)
12.7
c)
6.2
d)
16.2
8.
Find m∠N
a)
14
b)
65
c)
76
d)
53
9.
Find m∠S
a)
21
b)
69
c)
23
d)
67
10.
CUBS is a Rhombus.
Find BC
a)
61.6
b)
30.8
c)
27
d)
13.5
11.
A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?
a)
39.6
b)
6.0
c)
14.8
d)
13.6
12.
A pilot looks down and sees the runway at an angle of depression of 10°. If the horizontal distance between the plane and the runway is 8000 feet, what is the height of the plane?
a)
1410.6
b)
1389.2
c)
5671.3
d)
7878.5
13.
You decide to go to the city for a day of fun. You happen to be standing 30 feet away from a building that is 645 feet tall. What is your angle of elevation to the top of the building?
a)
87.3
b)
2.6
c)
79.1
d)
84.6
14.
A traffic helicopter spots two different accidents. One is east at an angle of depression of 35 degrees. The other is west at an angle of depression of 21 degrees. If the helicopter is 800 feet in the air, how far apart are the accidents?
a)
1142
b)
2084
c)
3226
d)
942
15.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
16.
The ratio in a right triangle of adjacent to hypotenuse is _____
a)
sine
b)
cosine
c)
tangent
d)
inverse cosine
17.
Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
18.
Choose the correct ratio.
a)
A
b)
B
c)
C
d)
D
19.
Choose the correct ratio.
a)
A
b)
B
c)
C
d)
D
20.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
21.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
22.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
23.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
24.
sin A = ?
a)
7/25
b)
24/25
c)
7/24
d)
25/7
25.
m∠A = ?
a)
16.3⁰
b)
73.8⁰
c)
15.6⁰
d)
17.0⁰
26.
cos B = ?
a)
12/13
b)
12/5
c)
5/13
d)
5/12
27.
m∠B = ?
a)
67.4⁰
b)
22.6⁰
c)
65.4⁰
d)
6.7⁰
28.
tan A = ?
a)
27/36
b)
36/27
c)
27/45
d)
36/45
29.
m∠A = ?
a)
36.9⁰
b)
38.7⁰
c)
53.1⁰
d)
30.1⁰
30.
Find the exact value of x.
a)
√29
b)
√7
c)
7
d)
10
31.
Find the exact value of x.
a)
2√5
b)
2√13
c)
10
d)
√10
32.
Find cos 58.4 to the nearest hundredth?
a)
.52
b)
.85
c)
.16
d)
.54
33.
Find tan 89 to the nearest hundredth?
a)
.54
b)
1
c)
.02
d)
57.29
34.
What is the opposite side to <D?
a)
EF
b)
DF
c)
DE
35.
What is the adjacent side to <D?
a)
EF
b)
DF
c)
DE
36.
What is the adjacent side to <E?
a)
EF
b)
DF
c)
DE
37.
What is the ratio of Cos <E?
a)
Cos<E = 5/4 =1.25
b)
Cos<E = 3/5 =.6
c)
Cos<E = 4/5 =.8
d)
Cos<E = 3/4 =.75
38.
What is the ratio of tan <E?
a)
tan<E = 5/4 =1.25
b)
tan<E = 3/5 =.6
c)
tan<E = 4/5 =.8
d)
tan<E = 3/4 =.75
39.
What is the ratio of tan <B?
a)
tan<B = 3/2 =1.5
b)
tan<B = 2/3 =.6
c)
tan<B = 2/3.6 =.55
d)
tan<B = 3.6/3 =1.2
40.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
41.
What is the ratio for Tangent
a)
Opp/Adj
b)
Adj/Opp
c)
Opp/Hyp
d)
Hyp/Opp
42.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
43.
What is the correct ratio?
a)
7/24
b)
24/7
c)
7/25
d)
24/25
44.
What is the correct ratio?
a)
20/12
b)
12/20
c)
12/16
d)
16/12
45.
What is the correct ratio?
a)
6/10
b)
6/8
c)
8/10
d)
8/6
46.
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
47.
Find the length of side y.
a)
22.32 cm
b)
36.5 cm
c)
76.34 cm
d)
87.76 cm
48.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
49.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
50.
Solve for x and y in the special right triangle.
a)
x = 7, y = 7√2
b)
x = 14 y = 7√2
c)
x = 14√2 y = 7√2
d)
x = 14 y = 14√2
51.
Solve for u and v in the special right triangle.
a)
v = 9√3, u = 6√3
b)
v = 6√3 u = 9√3
c)
v = 9, u = 6√3
d)
v = 3√6, u = 6√3
52.
Solve for x and y in the special right triangle.
a)
y = 4, x = 4√3
b)
y = 4√2, x = 4√2
c)
y = 4 x = 12
d)
y = 8/√3, x = 16/√3
53.
Find Cos(A) as a decimal rounded the the nearest ten-thousandth.
a)
.4706
b)
1.875
c)
.8824
d)
.5333
54.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
55.
Solve for x. Round to the nearest tenth.
a)
44.0
b)
41.4
c)
1.2
d)
1.0
56.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
57.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
58.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
59.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?
a)
7.5 ft
b)
15 ft
c)
26 ft
d)
30 ft
60.
A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?
a)
25 feet
b)
45 feet
c)
110 feet
d)
135 feet
61.
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
62.
Find r and s.
a)
r = 9, s = 9√3
b)
r = 18, s = 9
c)
r = 9√3, s = 9
d)
r = 18, s = 9√3
63.
Which of the following is correct for finding the measure of angle Z?
a)
∠Z = tan-1 55/48
b)
∠Z = sin-1 48/55
c)
∠Z = cos-1 55/73
d)
∠Z = tan-1 48/73
64.
What trigonometric ratio would be used to find the distance from the ship to the plane?
a)
sine
b)
cosine
c)
tangent
d)
inverse sine
65.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?
a)
7.5 ft
b)
15 ft
c)
26 ft
d)
30 ft
66.
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
67.
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
68.
What trigonometric ratio would be used to find the distance from the ship to the plane?
a)
sine
b)
cosine
c)
tangent
d)
inverse sine
69.
When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow?
a)
1.2 m
b)
28.9 m
c)
6.1 m
d)
28.2 m
70.
My dog, Stella, is playing in the park and sees a tree 100 m away. Since she is the dog of a mathematics teacher, she knows how to calculate the angle of elevation to the top of the tree and finds it to be about 25°. About how tall is the tree?
a)
32 m
b)
47 m
c)
15 m
d)
42 m
71.
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
72.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
73.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
74.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
75.
Find the value of y.
a)
11√2
b)
11
c)
22
d)
(11√2)/2
76.
What is the value of x?
a)
2
b)
18
c)
2√9
d)
9√2
77.
Find the missing side lengths.
a)
a = 4, b = 4
b)
a = 4, b = 2√2
c)
a = 2√2, b = 4
d)
a = 4, b = 4
78.
Use the 45-45-90 theorem to solve for the hypotenuse.
a)
16
b)
8
c)
8√2
d)
√16
79.
Solve for a and b in the special right triangle.
a)
a = 5, b = 5
b)
a = 10, b = 10√2
c)
a = 10√2, b = 10√2
d)
a = 5√2, b = 5√2
80.
Find the value of x.
a)
3 sqrt(2)
b)
3
c)
6 sqrt(2)
d)
6
81.
What is the value of x?
a)
12√2
b)
2√12
c)
24
d)
2
82.
Find a - the length of a leg of the triangle.
a)
4
b)
2
c)
4√2
d)
2√4
83.
Find a - the length of the hypotenuse.
a)
2√6
b)
2√3
c)
3
d)
6
84.
If the leg of a 45-45-90 triangle is 7 cm long, then its hypotenuse is _____ cm.
a)
7√2
b)
49√2
c)
7
d)
7√7
85.
Find the length of the diagonal of a square with side length 12 cm.
a)
12√2 cm
b)
6√2 cm
c)
7√2 cm
d)
13
13√2 cm
13√2 cm
86.
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
a)
Multiply that leg by 2
b)
Use the same length for the second leg
c)
Multiply that leg by √2
87.
Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 4√2 inches and one of the angles is 45∘.
a)
4 inches
b)
2 inches
c)
8 inches
d)
10 inches
88.
A square has a perimeter of 32 inches. What is the length of the diagonal?
a)
16
b)
4√2 in
c)
32√2 in
d)
8√2 in
89.
Sam's square bedroom has a diagonal of 9√2 feet. What is the length of each side?
a)
18
b)
3√2
c)
9
d)
12.7
90.
A triangle has side lengths:
5, 8, 6. Is this triangle a right triangle, an acute triangle, or an obtuse triangle?
5, 8, 6. Is this triangle a right triangle, an acute triangle, or an obtuse triangle?
a)
right
b)
acute
c)
obtuse
91.
How long is the hypotenuse of a 45-45-90 triangle, how long is the hypotenuse if each leg is 5 units?
a)
10 units
b)
5 units
c)
15 units
d)
5√2 units
92.
Find the measure of the indicated angle.
a)
9.39
b)
55.2
c)
20.2
d)
19.4
93.
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
94.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
95.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
96.
a)
27/36
b)
27/45
c)
45/36
d)
45/27
97.
Solve for the missing angle
a)
50
b)
0.053
c)
36.9
d)
95
98.
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
99.
Which equation is true?
a)
sin (x) = 14/29
b)
cos (x) = 14/29
c)
tan (x) = 14/29
d)
tan (x) = 29/14
100.
Which equation would you use to solve for the unknown angle?
a)
x = sin–1(4/5)
b)
x = cos–1(4/5)
c)
x = cos–1(5/4)
d)
x = tan–1(4/5)
Reset
