Question

A large ladder leans against a house with the base of the ladder 5.8 horizontal feet from

the base of the house. If the ladder has a slope of 3.3 feet per foot, at what height does the top of the ladder meet the house? (Round your answer to two decimal places.)
=_______ft

Answer 1

At 19.14 feet the top of the ladder meet the house.

Explanation:

It is given that,

A large ladder leans against a house with the base of the ladder 5.8 horizontal feet from the base of the house.

Slope of the ladder, m = 3.3 feet/foot

We need to find at what height does the top of the ladder meet the house. Let it is h.

Base, b = 5.8 feet

It will form a right angle triangle

Slope=h/base

h = slope × base

h = 3.3 × 5.8

h = 19.14 feet

So, at 19.14 feet the top of the ladder meet the house.