Question

An electric utility worker wants to anchor a guy wire from the top of a ​20.4-foot utility pole to a spot that is 8.5​ feet from the base of the pole on level ground. How long does the guy wire need to be? Round your answer to one decimal place.

Answer 1

The length of the guys wire should be = 22.1 feet

Using pythagorean theorem in geometry

The pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides.

Therefore,

$c {}^{2} = 20.4 {}^{2} + 8.5 {}^{2}$

$c {}^{2} = 416.16 + 72.25$

$c {}^{2} = 488.41$

$c = \sqrt{488.41}$

c = 22.1 feet.

Where c represents the length of the guys wire

Learn more about Pythagorean theorem here:

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