Solve the problem.
-A ladder that is 15 feet long is 9 feet from the base of a wall. How far up the wall does the ladder reach?
A) $12 \mathrm { ft }$
B) $3 \sqrt { 34 } \mathrm { ft }$
C) $\sqrt { 6 } \mathrm { ft }$
D) $144 \mathrm { ft }$

Question

Quizplus · Accepted Answer

The problem can be solved using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Here, the ladder forms the hypotenuse, and the distance from the wall and the height up the wall form the two legs of the triangle. Thus, if $x$ is the height up the wall, we have $9^2 + x^2 = 15^2$. Solving for $x$, we find $x = 12$.

Solve the Problem 12ft12 \mathrm { ft }12ft B) 334ft3 \sqrt { 34 } \mathrm { ft }334​ft

Solve the Problem $12 \mathrm { ft }$ B) $3 \sqrt { 34 } \mathrm { ft }$