Solve the problem.
-A ladder is resting against a wall. The top of the ladder touches the wall at a height of $15 \mathrm{ft}$. Find the length of the ladder if the length is $5 \mathrm{ft}$ more than its distance from the wall.
A) $25 \mathrm{ft}$
B) $30 \mathrm{ft}$
C) $20 \mathrm{ft}$
D) $15 \mathrm{ft}$

Question

Quizplus · Accepted Answer

Using the Pythagorean theorem, let the distance from the wall be $x$. Then the ladder's length is $x + 5$. We have $x^2 + 15^2 = (x + 5)^2$. Solving this gives $x = 20$, so the ladder's length is $x + 5 = 25$.

Solve the Problem 15ft15 \mathrm{ft}15ft Find the Length of the Ladder If the Length

Solve the Problem $15 \mathrm{ft}$ Find the Length of the Ladder If the Length