Posted by **christina** on Monday, March 28, 2011 at 8:20pm.

A cable 22 feet long runs from the top of a utility pole to a point on the ground 15 feet from the base of the pole. How tall is the utility pole?

- thanks!

- geometry -
**lulu**, Monday, March 28, 2011 at 8:27pm
set up a right triangle

the base is 15, hypotenuse 22, and the height is x. solve for x.

use the pythagorean theorum.

a^2+b^2=c^2

15^2+x^2=22^2

225+x^2=484

x^2=259

x=16.09 feet

- geometry -
**Ms. Sue**, Monday, March 28, 2011 at 8:28pm
This looks like a problem for the Pythagorean Theorem.

a^2 + b^2 = c^2

15^2 + b^2 = 22^2

225 + b^2 = 484

b^2 = 484 - 225

b^2 = 259

b = 16.09 feet

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