Question

A telephone pole is 24 feet tall. a 26-foot guy wire is used to stabilize the pole. how far from the base of the telephone pole should the end of the guy wire be set? (assume that the pole makes a right angle with the ground.)

Answer 1

Using the Pythagorean Theorem, it is found that the base of the pole should be set 10 feet from the end of the wire.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs $l_1$ and $l_2$ of a right triangle with the length of the hypotenuse h, according to the following equation:

$h^2 = l_1^2 + l_2^2$

In this problem, the distance is $l_2$, while the other measures are $l_1 = 24, h = 26$, hence:

$24^2 + l_2^2 = 26^2$

$l_2 = \sqrt{26^2 - 24^2}$

$l_2 = 10$

The base of the pole should be set 10 feet from the end of the wire.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

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