Question

Two guy wires are attached to a cell tower. The first one is 15 ft long and at an angle of elevation on the ground of 55 degrees. The second wire is 22 ft long an angle of elevation on the ground of 63 degrees. Both wires secured same location on ground. How far apart the wires on cell tower?

Answer 1

Of course you made a diagram.
let the distance to the first connection be x
let the distance to the second connection by y
x < y
from the smaller right-angled triangle:
sin55 = x/15
x = 15sin55

from the larger triangle:
sin 63 = y/22
y = 22sin63

distance between the two connection points
= y - x
= .......