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In effect you have the outline of aright-angled triangle with an adjacent side of 10 ft and an opposite side of 15 ft and you need to find the length of the hypotenuse (which will be the ladder). Use Pythagoras' theorem to find the length of the hypotenuse: adjacent2+opposite2 = hypotenuse2 102+152= 325 square feet The square root of 325 = 18.02775638 feet So the ladder needs to be at least 18 feet in length.
Using Pythagoras' theorem the length of the ladder is 20.248 feet
step ladder
Yes because tangent = opposite/adjacent
Extension Ladder