A ladder is resting against a wall. The top of the ladder touches the wall at a height of 12 ft. Find the length of the ladder if the length is 4 ft more than its distance from the wall.
A) 20 ft
B) 12 ft
C) 24 ft
D) 16 ft

Question

Quizplus · Accepted Answer

The problem can be solved using the Pythagorean theorem. Let the distance from the wall be x feet. Then, the length of the ladder is x + 4 feet. The equation is x^2 + 12^2 = (x + 4)^2. Solving for x gives x = 16, so the length of the ladder is 20 feet.

A Ladder Is Resting Against a Wall