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

Answer:

Length of the cable (H) = 35 foot

Step-by-step 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:

$H = \sqrt{P^2+B^2}$

$Length\ of\ the\ cable = \sqrt{(Height\ of\ the\ pole)^2+(Distance\ from\ the\ pole)^2}$

$Length\ of\ the\ cable =\sqrt{28^2+21^2}\\\\ Length\ of\ the\ cable =\sqrt{784+441}\\\\Length\ of\ the\ cable=\sqrt{1,225} \\\\Length\ of\ the\ cable = 35$

Length of the cable (H) = 35 foot