Problema Solution

A 41-foot ladder is leaning against a building. The base of the ladder is 9 feet from the side of the building. How high does the ladder reach along the side of the building?

Answer provided by our tutors

let h = the height on the wall where the ladder reaches along the side of the building


the ladder, the base of the ladder and the side of building are sides of a right triangle


using the Pythagorean Theorem


h^2 = 41^2 - 8^2


by solving we find


h = 40.21 ft


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the height on the wall where the ladder reaches along the side of the building is approximately 40.21 feet.