1. Two ladders form a rough X in an alley. One ladder extends from the base of the left wall to rest on the right wall, and the other leans from the base of the right wall to rest on the left wall. The ladders are 11 and 13 meters long and they cross 4 meters off the ground. How wide is the alley?
2. The solution to the above puzzle is not an integer. Can you find a solution for which all of the values (ladder lengths, crossing height, and alley width) are integers?

Source: Internet newsgroup rec.puzzles. Used in Ken's POTD 8/16/94.