Question

A cable is attached to the top of a 28-foot utility pole. The cable is fastened to the ground at a point 21 feet from the base of the pole. Find the length of the cable.

Answer 1

Length of the cable (H) = 35 foot

Explanation:

Given:

Height of the pole (P) = 28 Foot

Distance from the pole (B) = 21 Foot

Find:

Length of the cable (H) = ?

Computation:

According to the Pythagoras theorem:

`H = √(P^2+B^2)`

`Length\ of\ the\ cable = √((Height\ of\ the\ pole)^2+(Distance\ from\ the\ pole)^2)`

`Length\ of\ the\ cable =√(28^2+21^2)\\\\ Length\ of\ the\ cable =√(784+441)\\\\Length\ of\ the\ cable=√(1,225) \\\\Length\ of\ the\ cable = 35`

Length of the cable (H) = 35 foot