Question

A radio tower has a guy wire attached to it's stretching to the ground to support the tower in high winds. if the guy wire is 325 ft. long and connects to the ground 128 ft. from the base of the tower, how high up the tower does the guy wire reach? Round to the hundredth.

Answer 1

Step-by-step explanation:

We can do a diagram of this problem first:

The guy wire and the radio tower form a right triangle. Using the Pythagorean theorem:

`325^2=128^2+h^2`

And solving for h:

`h=\sqrt[]{325^2-128^2}=298.73ft`

Answer:

h = 298.73 ft