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By Pythagoras, if the initial height of the ladder is H1 feet, then

252 = H12 + 92 so H12 = 252 - 92 = 544 so that H1 = 23.32 ft.

After the move, the base of the ladder is 15 ft from the wall. If the height now is H2 feet, then

252 = H22 + 152 so H22 = 252 - 152 = 400 so that H2 = 20 ft.

So the ladder will slide down 3.32 ft or 3 ft 3.9 inches, approx.

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