A guy wire is stretched from a broadcasting tower at a point 250 feet above the ground to an anchor 150 feet from the base (see figure).How long is the wire?
A) 291.55 feet
B) 193.65 feet
C) 150.83 feet
D) 412.31 feet
E) 244.95 feet

Question

A guy wire is stretched from a broadcasting tower at a point 250 feet above the ground to an anchor 150 feet from the base (see figure).How long is the wire? ​  ​  ​
A) 291.55 feet 
B) 193.65 feet 
C) 150.83 feet 
D) 412.31 feet 
E) 244.95 feet

Quizplus · Accepted Answer

Using the Pythagorean theorem, we can find the length of the wire:
c² = a² + b²
where c is the length of the wire, a is the height of the tower, and b is the distance from the anchor to the base of the tower.

Substituting in the given values, we get:
c² = 250² + 150²
c² = 62500 + 22500
c² = 85000
c ≈ √85000
c ≈ 291.55

Therefore, the length of the wire is approximately 291.55 feet.

A Guy Wire Is Stretched from a Broadcasting Tower at a Point