A 15-foot ladder is leaning against a house with the base of the ladder 4 feet from the house. How high up the house does the ladder reach? Round to the nearest tenth of a foot.

height of house to ladder reach is 14 ft

Explanation:

Given data

ladder = 15 ft

base = 4 ft

to find out

height of house

solution

we know this is triangle shape so we apply here

so we consider here x is ladder and y is base and z is height

so

by pythagoras theorem

z² + y² = x²

so here

z² = x² - y²

put value

z² = 15² - 4²

z² = 209

z = 14.45 = 14

so height of house to ladder reach is 14 ft