An 8 FT ladder is leaning against a wall If the foot of the ladder is 6.2 FT
from the
base of the wall how high
up the wall does the ladder
reach?

5.06 ft

Step-by-step explanation:

The ladder, the floor, and the wall form a right triangle.

One leg measures 6.2 ft. The hypotenuse measures 8 ft. We are looking for the height which is the other leg.

a² + b² = c²

a² + (6.2 ft)² = (8 ft)²

a² = 64 ft² - 38.44 ft²

a² = 25.56 ft²

a = 5.06 ft