A24-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?

179

31.24099...

Step-by-step explanation:

A squared + B squared = C squared

A = 24

B =  20

576 + 400 = C squared

976 = C squared

The square root of 976 is your answer.

31. 24099...

The answer is 176

Step-by-step explanation:

The answer is the square root of one hundred seventy-six feet.

The height of the antenna and the length of the wire form two sides of a right triangle. The distance from the base 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, where a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse.

Let g equal the length in feet of the unknown leg.

First, apply the Pythagorean Theorem, and substitute twenty-four feet for the length of the hypotenuse and twenty feet for one of the legs.

Next, we square twenty-four and twenty.

Then, subtract four hundred from both sides to get one hundred seventy-six equals g squared.

Finally, take the square root of both sides to get the square root of one hundred seventy-six equals g.

So the distance from the base of the antenna to the point at which the wire is fixed to the ground is the square root of one hundred seventy-six feet.