Trig Word Problems

Round your answer to the nearest tenth.

• 1747.5 ft.

• 1319.3 ft.

• 1428.2 ft.

• 2747.5 ft.

Solve for the missing angle. Round to the nearest tenth.

• A

• B

• C

• D

Find the missing side. Round to the nearest tenth.

• A

• B

• C

• D

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

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

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

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. 

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.