with its arm fully extended to a length of 16ft, the maximum height that a man lift can reach is 18ft. The lowest height is 4ft, what is the position where the arm of the lift is horizontal.

a) if a man gets on the lift and the arm is lifted through an angle 15degrees,what would be the final height of the man, to the nearest tenth of a foot?

b) to the nearest degrees, what is the maximum angle that can be formed between the arm in its lowest position and the arm in its highest position.
c)as a man is lifted, he travels both vertically and horizontally as the arm moves. how far will a man travel horizontally between the lowest position and the highest position, to the nearest tenth of a foot.