A 3' cube sits on level ground against a vertical wall. A 12' ladder on the same ground leans against the wall such that it touches the top edge of the box.

How far from the wall must the foot of the ladder be, if it is to reach maximum height whilst meeting the foregoing conditions?

(In reply to different approach by Scott)

I worked this using similar triangles and reached the answer of approximately 4.087 feet from the wall to give a max height of 11.283 feet, but I like Scott's solution better. I think his answer justifies the wording of the problem best.

Posted by corey on 2003-12-14 14:30:30