Semi - OT because this problem comes from the book 'Machine Shop Trade Secrets' page 272.

"A ten-foot ladder is leaned up against a wall. A two-foot cubic box is placed under the ladder and up against the wall. The angle of the ladder is adjusted so that it is touching the floor, the wall, and the corner of the box. How high up the wall does the ladder touch?"

The answer is given in the Appendix (9.6771 feet) but can anyone explain to me how to arrive at that answer?

"A ten-foot ladder is leaned up against a wall. A two-foot cubic box is placed under the ladder and up against the wall. The angle of the ladder is adjusted so that it is touching the floor, the wall, and the corner of the box. How high up the wall does the ladder touch?"

The answer is given in the Appendix (9.6771 feet) but can anyone explain to me how to arrive at that answer?

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