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 re: solution by Penny)

Dan, sorry, Penny, if the ladder was set up in this fashion it would only touch the top edge of the box if the box a cube with sides (srqt 72)/2 = 4.24264'
The question specifically states it's a 3' cube.
Or are you just trying to wind SK up?

Posted by Lee on 2003-12-09 11:21:26