Two wires are connected

by stakes from the ground to

the top of a vertical pole that

is anchored half way between

the stakes. The stakes are 16

feet apart. Each wire is 10

feet long. What is the height

of the pole?

Height of the pole = 6 feet,

Step-by-step explanation:

We have 2 congruent right angled triangles.

The base of each triangle is 1/2 * 16 = 8 feet and the hypotenuse is 10 feet long.

By Pythagoras:

10^2 = 8^2 + h^2 where h is the height of the pole>

h^2 = 10^2 - 8^2

h^2 = 100 - 64 = 36

h = 6 feet,