# A cable 23 meters long runs from the top of a utility pole to a point on the ground 9 meters from the base of the pole. How tall is the utility pole, to the nearest tenth or a meter?

Aug 5, 2016

$= 22.8$ meters tall

#### Explanation:

This is a right angled triangle where hypotenuse $h = 23$ and base $b = 9$
We have to find p=?
So
$p = \sqrt{{h}^{2} - {b}^{2}}$
or
$p = \sqrt{{23}^{2} - {9}^{2}}$
or
$p = \sqrt{529 - 9}$
or
$p = \sqrt{520}$
or
$p = 22.8$