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

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.

Solve the Problem 12ft12 \mathrm { ft }12ft Find the Length of the Ladder If the Length

Solve the Problem $12 \mathrm { ft }$ Find the Length of the Ladder If the Length