Give one example of how to solve for a missing side, given 1 side (59 ft) and 1 reference angle (35 degrees) solving with the variable in the numerator.

Please help and show as much work as possible!

If all we have is one side and one angle, there's no way to determine any of the missing info.

Now, if we're working with a right triangle, then the side opposite the angle is

x/59 = tan 35°

But since this is geometry, not trig, I don't know whether that's what you had in mind.