Two ships, a and b, leave port at the same time ship a travels northwest at 24 knots, and ship b travels at 28 knots in a direction 40° west of south. (1 knot 1 nautical mile per hour see appendix d.) what are the (a) magnitude and (b) direction of the velocity of ship a relative to b? (c) after what time will the ships be 160 nautical miles apart? (d) what will be the bearing of b (the direction of b's position) relative to a at that time?