Font size
WorksheetsRight Triangle Word Problems
Total questions: 20
Worksheet time: 20mins
Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.
63.6 ft
1.59 ft
74.2 ft
86.9 ft
A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.
19 degrees
45 degrees
71 degrees
138 degrees
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?
7.5 ft
15 ft
26 ft
30 ft
A 13 ft. ladder is leaning against the house. The top of the ladder touches the house at 10 feet above the ground. How far away is the bottom of the ladder from the house?
10 feet
7.5 feet
8.3 feet
3.8 feet
Which trigonometric function would you use to find "h", the height of the tree?
sine
cosine
tangent
none of these
Round your answer to the nearest tenth.
1747.5 ft.
1319.3 ft.
1428.2 ft.
2747.5 ft.
814 feet
814 feet
1,078 feet
1,426 feet
936 feet
A building 62 feet tall casts a shadow 21 foot long. At what angle is the sun shining on the building?
19.80
18.71
70.20
71.29
28°
62°
49°
41°
Round your answer to the nearest tenth.
36.9°
31.0°
59.0°
53.1°
Solve for the missing distance.
18.9
19.5
47
27.5
A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the horizontal length of the ramp to the nearest tenth of an inch.
4.1 inches
3.9 inches
22.7 inches
0.7 inches
A building 62 feet tall casts a shadow 21 feet long. At what angle is the sun shining on the building?
19.80 °
18.71 °
70.20 °
71.29 °
A power line stretches from the top of a building to the ground. The power line is 100 ft. long and the building is 50 ft. tall. What is the horizontal distance from the end of the power line to the building?
220.3 ft.
100 ft.
86.6 ft.
73.8 ft.
Jenn wants to measure the height of a tree. She walks exactly 125 feet from the base of the tree and looks up. The angle from the ground to the top of the tree is 33°. How tall is the tree? (Round to the nearest tenth. Only the number, no units)
(a)
A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun.
34 degrees
56 degrees
72 degrees
15 degrees
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?
11.1 ft.
9 ft.
7.4 ft.
13.8 ft.
A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?
66 degrees
80 degrees
30 degrees
19 degrees
Jake is 6 ft. tall. He is standing outside when the angle of elevation of the sun is 28 degrees. How long would his shadow be?
5.3 feet
2.8 feet
3.2 feet
11.3 feet
A plane takes off at an angle of 30 degrees and reaches a height of 10 miles. What is the diagonal distance it has traveled from take off to it's current position?
15 miles
38 miles
17 miles
20 miles
