WorksheetsTrig Word Problems
Total questions: 15
Worksheet time: 4hrs 45mins
Name
Class
Date
1.
To the nearest whole degree.
a)
66°
b)
24°
c)
22°
d)
37°
2.
Round your answer to the nearest tenth.
a)
36.9°
b)
31.0°
c)
59.0°
d)
53.1°
3.
Solve the triangle. Round al answers to the nearest tenth.
a)
A
b)
B
c)
C
d)
D
4.
Solve the triangle. Round al answers to the nearest tenth.
a)
A
b)
B
c)
C
d)
D
5.
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
6.
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)
63.6 ft
b)
1.59 ft
c)
74.2 ft
d)
86.9 ft
7.
Find the height of the tree. Assume the angle looking up to the tree is 38o.
a)
12.5 ft
b)
11.9 ft
c)
6.88 ft
d)
17.5 ft
8.
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
9.
Solve the right triangle.
a)
<B = 39o, AB = 11.58, AC = 7.29
b)
<B = 39o, AB = 7.29, AC = 11.58
c)
<B = 129o, AB = 11.58, AC = 7.29
d)
<B = 129o, AB = 7.29, AC = 11.58
10.
A plane flying at 2000 ft altitude begins a 25 degree angle of descent to land. What is the distance along the ground the plane will travel before it lands?
a)
4289 ft
b)
932.6 ft
c)
845.2 ft
d)
4732.4 ft
11.
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
12.
From a point 340 meters from the base of the Hoover Dam, the angle of elevation to the top of the dam is 33°. Find the height of the dam to the nearest meter.
a)
185.18 meters
b)
523.55 meters
c)
220.80 meters
d)
624.27 meters
13.
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
14.
A 4 ft tall child creates a shadow that is 7.5 ft long. What is the angle of elevation of the sun?
a)
62 degrees
b)
49 degrees
c)
28 degrees
d)
15 degrees
15.
You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat?
a)
11.1 ft.
b)
9 ft.
c)
7.4 ft.
d)
13.8 ft.
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