Pythagoras Real World Problems

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

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. 

• A

• B

• C

• D

• 18 feet

• 12 feet

• 14 feet

• 2 feet

Solve for the length indicated.

• 1

• 2

• 3

• 4

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72

Solve for the length indicated.

• 9

• 10

• 11

• 12

If a man is 6 ft. tall and he casts a shadow that is 3 ft. long, what is the distance from the top of the man's head to the end of his shadow.?

• 9 feet

• 6 feet

• 6.7 feet

• 9.7 feet