Pythagorean Theorem and Word Problems

The foot of a ladder is placed 15 feet from the wall.  If the top of the ladder rests 20 feet up on the wall, how long is the ladder?

• 25

• 13.2

What is the shortest distance from the hospital to the gas station?

• -10

• 10

• 8

• 18

Televisions are measured by the length of their diagonal. The TV is advertised as being 36 inches and you measure the length to be 30 inches. What is the height of the TV?

• 46.9 inches

• 8.1 inches

• 19.9 inches

• 32.9 inches

Find the distance.

• 9.7

• 10.7

• 11.7

• 12.7

• 11 mi

• 10 mi

• 7 mi

• 5 mi

• 124.46 ft

• 51.42 ft

• 40.62 ft

• 39.39 ft

• 814 feet

• 1,078 feet

• 1,426 feet

• 936 feet

Madison is on the top of an 80 foot building. She is creating a zipline course to the ground with 100 feet of cable. How far from the base of the building will she need to anchor the cable to make the zipline cable tight?

• 60 feet

• 20 feet

• 180 feet