Solve the problem.
-A ladder is resting against a wall. The top of the ladder touches the wall at a height of $18 \mathrm{ft}$. Find the length of the ladder if the length is $6 \mathrm{ft}$ more than its distance from the wall.
A) $24 \mathrm{ft}$
B) $30 \mathrm{ft}$
C) $18 \mathrm{ft}$
D) $36 \mathrm{ft}$

Question

Quizplus · Accepted Answer

Let the distance from the wall be $x$. Then, the length of the ladder is $x + 6$. Using the Pythagorean theorem: $x^2 + 18^2 = (x + 6)^2$. Solving this equation gives $x = 24$, so the ladder is $24 + 6 = 30 \mathrm{ft}$ long.

Solve the Problem 18ft18 \mathrm{ft}18ft Find the Length of the Ladder If the Length

Solve the Problem $18 \mathrm{ft}$ Find the Length of the Ladder If the Length