a Radio transmission tower is 200ft tall. how long should a guy wire be if it is to be attached 13ft from the top and is to make an angle of 30 degrees with the ground

Since the question is indicating to use a graphing calculator, we can assume that we would be required to graph both of the equations.

Red =

Blue =

By graphing those equations, we can determine the solution(s)

The points where the graphs intersect would be your coordinates to derive your solution

Red = (1.864, 1.966)

Blue = (-0.427, 1.254)

The solutions would be the x-value of the ordered pair, in this case,

x = 1.864 AND x = -0.427