Answer:
 43.6 feet
Step-by-step explanation:
The Pythagorean theorem is useful for finding the hypotenuse of a right triangle whose legs are known. Our triangle has a height of 23 feet and a base of 37 feet. Its hypotenuse, the length of the wire, is ...
 d = √(23² +37²) = √(529 +1369) = √1898
 d ≈ 43.56604 . . . feet
The distance between the tops of the poles is about 43.6 feet.
