Geometry Word Problems

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? Round your answer to the nearest whole mile.

• 15 miles

• 38 miles

• 17 miles

• 20 miles

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.

Sam 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.

• 19^o

• 45^o

• 71^o

• 138^o

Choose the correct answer below.

• A. 51.4 degrees

• B. 38.6 degrees

• C. 38 degrees

• D. 54.1 degrees

If you place a 39-foot ladder against the top of a building and the bottom of the ladder is 33 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

• 51.1

• 20.8

• 432

• 2160

• A

• B

• C

• D

• A

• B

• C

• D

Round your answer to the nearest tenth.

• 1747.5 ft.

• 1319.3 ft.

• 1428.2 ft.

• 2747.5 ft.

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. 

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. 

• 185.18 meters

• 523.55 meters

• 220.80 meters

• 624.27 meters