+128 Initially, a $65$-foot ladder rests against a vertical wall such that the top of the ladder is $60$ feet from the ground. Then, Naoki moves the base of the ladder farther out from the wall so that the top of the ladder slides down until resting against the wall at a point $52$ feet above the ground. Given that the wall is perpendicular to the ground, how many feet did Naoki move the base of the ladder?
https://latex.artofproblemsolving.com/8/c/b/8cbb6e31da307c17aadb48186fc82cc9e3a0f80e.png
