opatovaL

2020-12-25

A wire is attached to the top of a pole. The wire is 7 ft longer than the pole, and the distance from the wire to the bottom of the pole is 7 ft less than the height of the pole. Find the length of the wire and the height of the pole.

The length of the wire is ? ft, and the height of the pole is ? ft.

The length of the wire is ? ft, and the height of the pole is ? ft.

izboknil3

Skilled2020-12-26Added 99 answers

Step 1

Let x be the height of the pole so that x+7 is the lenght of the wire and the distance from the wire to the bottom of the pole is x - 7, all in ft.

Label the right triangle as shown:

Step 2

Using Pythagorean Theorem, we solve for x:

Factor:

x(x-28)=0

By zero product property,

x=0,28

The height of the pole cannot be 0 so we tale x = 28 as the solution.

So, the lenght of the wire is 28 + 7 = 35 ft and the height of the pole is 28 ft.

Result:

The lenght of the wire is 35 ft, and the height of the pole is 28 ft.

Jeffrey Jordon

Expert2021-10-10Added 2605 answers

Answer is given below (on video)

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