SOLUTION: A support wire stretches from the top of a pole that is 30 feet tall to an anchor in the ground 40 feet from the base of the pole. How long is the wire?

Algebra ->  Pythagorean-theorem -> SOLUTION: A support wire stretches from the top of a pole that is 30 feet tall to an anchor in the ground 40 feet from the base of the pole. How long is the wire?      Log On


   



Question 873498: A support wire stretches from the top of a pole that is 30 feet tall to an anchor in the ground 40 feet from the base of the pole. How long is the wire?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let wire length be x
The rope the floor & the pole form a right triangle.
The base is one leg The height is the other
By Pythagoras theorem
Hypotenuse^2 = Leg1^2+leg2^2
%09x+%09%5E2%09=%0930%09%5E2%09%2B%0940%09%5E2
x ^2 = 900 + 1600
x ^2 = 2500
+sqrt%28x%5E2%29=%09%09sqrt%28%092500%09%29
x= 50 m