Solve the problem.
-A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6 ft. Find the length of the ladder if the length is 2 ft more than its distance from the wall.
A)6 ft
B)8 ft
C)12 ft
D)10 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 + 2 feet. The ladder, the wall, and the ground form a right-angled triangle. According to the Pythagorean theorem, $x^2 + 6^2 = (x + 2)^2$. Solving for x gives $x = 8$, so the length of the ladder is $x + 2 = 10$ feet.

Solve the Problem. -A Ladder Is Resting Against a Wall. the Top of the Top