Problema Solution

A 15 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 12 feet from the base of the building. How high up the wall does the ladder reach?

Answer provided by our tutors

Let 'h' represents the height that the ladder reaches up the wall, h>0.

Using the Pythagorean Theorem we can write:

12^2 + h^2 = 15^2

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click here to see the equation solved for h

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h = 9 ft

The ladder reaches 9 feet up the wall.