A supporting wire is to be attached to the top of a 43 foot antenna. If the wire must be anchored 43 feet from the base of the antenna, what length of wire is required?

The length of the wire is 60.81 feet

Step-by-step explanation:

Hi, since the antenna and the distance from the base to the point of the anchor form a right triangle (see attachment)

We can apply the Pythagorean Theorem

c2 = a2+b2

Where c is the hypotenuse of the triangle (the longest side, or the wire in this case) and a and b are the other 2 sides.

Replacing with the values given and solving for c:

c²= 43²+43²

c =√(43²+43²)

c =√(1849+1849)

c =√3689

c = 60.81 feet