A painter places an 11-ft ladder against a house. The base of the ladder is 3 ft from the house. How high on the house does the ladder reach?

Mathematics · High School · Tue Nov 03 2020

Answered on

Here, we have

Hypotenuse = 11 feet

Base = 3 feet

Perpendicular = ?

Using phythogoras theorem 

H² = P² + B²

11² = P² + 2²

P² = 121 - 4

P² = 117

P = 10.58 ft

 

Thus, height of ladder is 10.58 ft