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Sunday, April 27, 2014

More Triangle Problems, 7

Category: Plane Geometry

"Published in Vacaville, California, USA"

A pole 26 ft. long leans against a wall at a point 10 ft. from the ground. What is the length of the projection of the pole on the ground?

Solution:

To illustrate the problem, it is better to draw the figure as follows

Photo by Math Principles in Everyday Life

Let's assume that the wall and the ground are perpendicular to each other.

Let y = be the length of the projection of the pole on the ground. 

By Pythagorean Theorem, the length of the projection of the pole on the ground is