Find the length of the ladder if the distance from the bottom of the ladder to the building is 10 feet.

Question

A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 2 feet less than the length of the ladder.

Answer 1

10² + (x - 2)² = x²

100 + x² - 4x + 4 = x²

-4x = -96

x = 24 ft