Answer:
The top cable is 115.52 feet long
The bottom cable is 110.86 feet long
Step-by-step explanation:
The ground anchor #2, the tower, ground level, and both cables form a figure made of two right triangles as shown in the figure below
We are required to compute L1 and L2 which are the hypotenuses of both triangles from which we have both legs
We'll apply the Pythagoras's theorem. If a and b are the legs of a right triangle and c its hypotenuse, then
[tex]c^2=a^2+b^2[/tex]
For the bottom ground support cable, a=41, b=103
[tex]L2^2=41^2+103^2[/tex]=110.86\ feet
For the top ground support cable, a=41, b=108
[tex]L1^2=41^2+108^2[/tex]=115.52\ feet
The top cable is 115.52 feet long
The bottom cable is 110.86 feet long
