# Thread: Find Length of Guy Wires

1. ## Find Length of Guy Wires

A radio tower 500 feet high is located on the side of a hill with an inclination to the horizontal of 5 degrees. How long should two guy wires be if they are to connect to the top of the tower and be secured at two points 100 feet directly above the directly below the base of the tower?

2. Originally Posted by magentarita
A radio tower 500 feet high is located on the side of a hill with an inclination to the horizontal of 5 degrees. How long should two guy wires be if they are to connect to the top of the tower and be secured at two points 100 feet directly above the directly below the base of the tower?
Is this the picture? If so, use the law of cosines to find G1 and G2.

$\displaystyle (G1)^2=500^2+100^2-2(500)(100)\cos85$

$\displaystyle (G2)^2=500^2+100^2-2(500)(100)\cos95$

3. ## wonderful

Originally Posted by masters
Is this the picture? If so, use the law of cosines to find G1 and G2.

$\displaystyle (G1)^2=500^2+100^2-2(500)(100)\cos85$

$\displaystyle (G2)^2=500^2+100^2-2(500)(100)\cos95$
Wonderful work and nice picture.

I can take it from here.