contestada

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?

Respuesta :

Answer:

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,