Question

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?

Answer 1

`=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`