Question

A painter leans a 25-ft ladder against a building. The base of the ladder is 7 ft from the building. To the nearest foot, how high on the building does the ladder reach? 20 feet 18 feet 26 feet 24 feet

Answer 1

7^2 + b^2 = 25^2
49 + b^2 = 625
b^2 = 625 - 49
b^2 = 576
b = sqrt 576
b = 24 ft <==

Answer 2

the ladder can go 24 ft high on the building.

Explanation:

painter leans on the ladder of length (L) = 25 ft

base of the ladder from the building (B) = 7 ft

to calculate high the building can reach

using Pythagoras theorem ;

L² = B² + H²

25² = 7² + H²

H² = 25² - 7²

H² = 576

H = √576

H = 24 ft

hence, the ladder can go 24 ft high on the building.