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
llm
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