Question

A radio tower is supported by a wire fastened to the ground 60 feet away from the base of the tower. If the slope of the wire is 3/2 approximately how long is the wire

Answer 1

Using similar triangles and ratios, we can find the height of the tower.
h/60 = 3/2
h = 90
then by Pythagoras:
let the length of the wire be x
x^2 = 60^2+90^2
x = √11700 = appr 108.2 ft

or

using trig, let the angle formed by Ø
tanØ = 3/2
Ø = 56.31°

then cosØ = 60/x
x = 60/cos 56.31° = 108.2