SOLUTION: A 40 foot tower is to be fastened by three guy wires attached to the top of the tower and the ground at positions 20 feet from its base. How much wire is needed? Round to the neare

Algebra ->  Pythagorean-theorem -> SOLUTION: A 40 foot tower is to be fastened by three guy wires attached to the top of the tower and the ground at positions 20 feet from its base. How much wire is needed? Round to the neare      Log On


   



Question 988271: A 40 foot tower is to be fastened by three guy wires attached to the top of the tower and the ground at positions 20 feet from its base. How much wire is needed? Round to the nearest tenth
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Consider the mast and wires as a right
angled triangle.
The wire is the hypotenuse
The mast is the opposite side
The mast size^2 + ground length^2
= wire length^2
So, 40^2 + 20^2 = wire length^2
1600 + 400 = wire length^2
wire length^2 = 2000
wire length = √2000
wire length = 44.721
3 wires = 3 x 44.721
3 wires = 134.2ft
Hope this helps :-)