A 24-foot wire connects the top of an antenna to a point on the ground. If the antenna is 20 feet high, how far from the base of the antenna is the wire fixed to the ground?

the peak of the antenna and the duration of the twine shape aspects of a proper triangle. the distance from the bottom of the antenna to the point at which the wire is fixed to the ground forms the other leg.

The Pythagorean Theorem states that a squared plus b squared equals c squared, in which a and b are the lengths of the legs of a proper triangle and c is the period of the hypotenuse.

permit g identical the period in feet of the unknown leg.

First, practice the Pythagorean Theorem, and replace 24 feet for the duration of the hypotenuse and 20 feet for one of the legs.

next, we square 24 and 20.

Then, subtract 400 from both aspects to get 176 equals g squared.

then, take the square root of each aspect to get the rectangular root of 176 equals g.

So the gap from the base of the antenna to the point at which the cord is constant to the ground is the square root of 176 feet.

Pythagorean theorem

a theorem in geometry: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the alternative sides.

Learn more about Pythagorean theorem here

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