Pythagorean Word Problems with Pictures

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

What is the length of a diagonal of a rectangular picture whose sides are 12 inches by 17 inches? Round to the nearest tenth of an inch. DO NOT INCLUDE UNITS ON YOUR ANSWER.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is the distance from the mall to the house?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

• 11.8

• 1

• 3.43

• 8.37

Find h

• 35.60

• 35.00

• 35.71

• 61.03

The picture below shows a ramp that Mike is building. How long does the board need to be to cover the ramp?

• 8.5

• 17

• 13

• 10.9

What is the length of the missing side? *NOTE: side lengths of 10 and 12.

• 15.6

• 6.6

• 44

• 16

We are given one of the sides and the hypotenuse. Find the length of the missing side length. (Hint: distance from the wall to the bottom of the ladder)

• 7

• 5

• 11

• 25

Solve for x. **Hint: Do you see the right triangle within the rectangle?**

• 38.9

• 40.2

• 45.6

• 54

Find the length of the diagonal of a rectangle whose width is 15 inches and length is 25 inches. **Hint: Label the rectangle with the dimensions given**

• 10.25

• 40

• 20

• 29.15