A man is crossing a roof that is inclined at an angle of \(30^{\circ}\) above the horizontal. His path takes him parallel to the roof ridge but \(4.0 \mathrm{~m}\) (along the roof surface) below the peak. He is supported by two ropes, one attached to an object above each end of the roof. The left rope is attached to a chimney at \(1.0 \mathrm{~m}\) above the peak of the roof; the right rope is attached to a flagpole at \(3.0 \mathrm{~m}\) above the peak of the roof. The chimney rope runs parallel to the roof surface, but the flagpole rope does not. Both ropes reach the man at waist level. When the man is halfway across the 10 -m-wide roof, describe each force that acts on the man, and identify which have components in each of three perpendicular directions: parallel to the roof ridge, normal to the roof surface, and tangential to the roof surface.