Question

A 14-foot building is set up 4 feet from the base of a building.How far up the building does the ladder reach?

Answer 1

Answer: 13.41 ft

Step-by-step explanation:

Given

length of ladder L=14 ft

Distance between building and ladder base is 4 ft

Suppose ladder reaches the height of h

from the figure, we can write

$\Rightarrow L^2=h^2+x^2\\\Rightarrow h^2=14^2-4^2\\\Rightarrow h^2=196-16=180\\\Rightarrow h=13.41\ ft$