Posted by Marco on Monday, December 17, 2012 at 8:03pm.
Since you're trying to find one leg of a right triangle, you need to use the Pythagorean Theorem. The ladder is the hypotenuse of this triangle.
a^2 + b^2 = c^2
15^2 + b^2 = 20^2
225 + b^2 = 400
b^2 = 175
b = 13.228 = 13.2 meters
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