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WorksheetsTrig
Total questions: 56
Worksheet time: 14hrs 0mins
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.
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.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
8o
6.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o
7.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
8.
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
9.
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
10.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
11.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
12.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
13.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
14.
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
15.
Solve for the misssing distance
a)
18.9 meters
b)
19.5 meters
c)
47.2 meters
d)
27.5 meters
16.
A rectangular field is 50 yards wide and 100 yards long. Ethan walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
17.
Which one is the easy way to remember trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
18.
If you are given the two sides that are not the hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
19.
From ∠C, what side is AB?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
20.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
21.
If you are given the hypotenuse and an adjacent side, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
22.
a)
A
b)
B
c)
C
d)
D
23.
Find Cos(A) as a decimal rounded the the nearest ten-thousandth.
a)
.4706
b)
1.875
c)
.8824
d)
.5333
24.
If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?
a)
sine
b)
cosine
c)
tangent
d)
You can only use trig functions on right triangles.
25.
Find m<B
a)
A
b)
B
c)
C
d)
D
26.
Find BC
a)
A
b)
B
c)
C
d)
D
27.
Find BC
a)
A
b)
B
c)
C
d)
D
28.
a)
A
b)
B
c)
C
d)
D
29.
Find m<A
a)
A
b)
B
c)
C
d)
D
30.
a)
A
b)
B
c)
C
d)
D
31.
a)
A
b)
B
c)
C
d)
D
32.
Find m<C
a)
A
b)
B
c)
C
d)
D
33.
Find the area to the nearest tenth.
a)
A
b)
B
c)
C
d)
D
34.
Find the area to the nearest tenth.
a)
A
b)
B
c)
C
d)
D
35.
Find the area to the nearest tenth.
a)
A
b)
B
c)
C
d)
D
36.
Find the length of side AB.
a)
10
b)
8
c)
6.1
d)
4.9
37.
What is the measure of angle A?
a)
58 degrees
b)
61 degrees
c)
78 degrees
d)
74 degrees
38.
Which Law would you use to solve for Angle B?
a)
Law of the Jungle
b)
Law of Cosines
c)
Law of the Gravity
d)
Law of Sines
39.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
40.
Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them. The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63. How far away is the bird from Amanda?
a)
25.23
b)
23.19
c)
22.15
d)
20.85
41.
Identify the Law of Sines
a)
Sin2x + Cos2x =1
b)
Sin(A)/a = Sin(B)/b = Sin(C)/c
c)
Sin(A)Sin(B)Sin(C) = 1
d)
Soh-Cah-Toa
42.
Use the Law of Cosines to find the value of x. (Level 1)
a)
41.7
b)
51.7
c)
61.7
d)
71.7
43.
Two stakes are holding a small blimp in place. Stake A measures an angle of elevation of 49o and Stake B measures an angle of elevation of 58o. If the string attached to Stake A has a length of 148 feet, what is the length of the string attached to Stake B?
a)
152.7 feet
b)
166.3 feet
c)
157.3 feet
d)
131.7 feet
44.
Jack is flying his kite. He runs 100 feet away from his house and lets out 75 feet of string. The angle of elevation from the ground to the kite is 65 degrees. How far away is the kite from the house?
a)
9285.73 ft
b)
96.36 ft
c)
24061.81 ft
d)
155.12 ft
45.
The angle of 12o is a(n)
a)
angle of elevation
b)
angle of depression
c)
neither
d)
both
46.
Is this an angle of elevation or an angle of depression?
a)
Angle of Elevation
b)
Angle of Depression
c)
Neither
d)
Both
47.
Secant is the reciprocal of what function?
a)
Cosecant
b)
Sine
c)
Cosine
d)
Tangent
48.
Cotangent is the reciprocal of what function?
a)
Cosecant
b)
Sine
c)
Cosine
d)
Tangent
49.
Cosecant is the reciprocal of what function?
a)
Secant
b)
Sine
c)
Cosine
d)
Tangent
50.
Given the Cos(x) = -2/3, then the Sec(x) = ?
a)
-2/3
b)
-3/2
c)
3/2
d)
2/3
51.
Given the Csc(x) = 1, then the Sin(x) = ?
a)
1
b)
-1
c)
0
d)
Undefined
52.
The pilot of a traffic helicopter sights an accident at an angle of depression of 18 degrees. The helicopter’s altitude is 1560 ft. What is the horizontal distance from the helicopter to the accident? Round to the nearest foot.
a)
543 ft
b)
1756 ft
c)
4801 ft
d)
5404 ft
53.
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. Which of these is nearest to the height of the lighthouse?
a)
25 feet
b)
44 feet
c)
81 feet
d)
185 feet
54.
Jake built a skateboard ramp that covers a horizontal distance of 10 ft. The ramp rises a total of 3.5 ft. What angle does the ramp make with the ground? Round to the nearest degree.
a)
19 degrees
b)
20 degrees
c)
28 degrees
d)
35 degrees
55.
A vertical tower is 20 m high from the horizontal ground. The angle of depression of a ball from the top of the tower is 42°. Calculate the distance, in m, of the ball from the base of the tower.
HINT: Assume this is a right triangle.
HINT: Assume this is a right triangle.
a)
18.01 m
b)
29.89 m
c)
13.38 m
d)
22.21 m
56.
Spencer is going snowboarding. He rode the ski lift to the top of the mountain, which is at an altitude of 1500 feet. The angle of elevation from the bottom to the top of the mountain is 25o. What is the length of the Spencer’s run (his trip down the hill)?
a)
3216.76 feet
b)
633.93 feet
c)
699.46 feet
d)
3549.30
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