Question

An 11-ft ladder leans against the side of a house. The bottom of the ladder is 6 ft from the side of the house. How high is the top of the ladder from the groundIf necessary, round your answer to the nearest tenth.11

Answer 1

Scesz, this is the solution to the problem:

For finding the height where the top of the ladder is, we will use the Pythagorean Theorem, this way:

Hypotenuse = 11 ft

Leg 1 = 6 ft

Leg 2 = x

Therefore,

x² = 11² - 6²

x² = 121 - 36

x² = 85

Square root at both sides:

√x² = √85

x = 9.22

x = 9.2 (Rounding to the nearest tenth)

The top of the ladder will be 9.2 ft from the ground.