Question

A 6.5-foot ladder is leaning against the side of a house. If the ladder is resting 6 feet off

the ground, how far is the ladder from the house?
O A. 7.5 feet
OB. 5 feet
C.
2.5 feet
D. 1 foot​

Answer 1

Answer: C. 2.5 ft

Explanation:

Use the Pythagorean Theorem a² + b² = c² where c is the hypotenuse.

In the given problem, the height = 6 and the hypotenuse = 6.5

6² + b² = 6.5²

36 + b² = 42.25

b² = 6.25

b = 2.5

The base (distance from the house) is 2.5 feet