In order to raise the lamp post from the position shown, force F is applied to the cable. If F = 200 lb, determine the moment produced by F about point A. I've attached the diagram. I apologize for the terrible quality. The length of the post from A to B is 20 ft.
The Attempt at a Solution
=200 lb (cos 75) (20 ft) = 1035.3 ft-lb
I think I somehow reasoned that the angle between AB and AC is 15°, so its complement is 75°. I said that the component of the force acting perpendicular to the moment arm is 200 cos 75. I know this is backwards from what it is supposed to be. It should be the force times the perpendicular component of the moment arm. I'm not sure that it matters much here, but I don't know how to describe the perpendicular moment arm.