Trigonometry Word Problems

Front

Solve for the missing angle.

Back

36.9

Front

Solve for the missing distance.

Back

18.9

Front

Estimate the height of the tree using the diagram. Options: 63 ft, 65 ft, 74 ft, 87 ft

Back

87 ft

Front

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. What is the height of the lighthouse?

Back

45 feet

Front

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?

Back

19 degrees

Front

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. What is the height of the lighthouse?

Back

45 feet

Front

A 4 ft tall child creates a shadow that is 7.5 ft long. What is the angle of elevation of the sun? Options: 62 degrees, 49 degrees, 28 degrees, 15 degrees

Back

28 degrees

Front

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?

Back

11.1 ft.

Front

Back

Front

What is the distance from the tree to the building, rounded to the nearest tenths place? Options: 8.6 ft, 18.6 ft, 16.7 ft, 10 ft

Back

8.6 ft