Two ships, A and B, leave port at the same time. Ship A travels northwest at 24

Question

Two ships, A and B, leave port at the same time. Ship A travels northwest at 24 knots and ship B travels at 30 knots in a direction 38° west of south. (1 knot = 1 nautical mile per hour; see Appendix D.) What are (a) the magnitude (in knots) and (b) direction (measured relative to east) of the velocity of ship A relative to B? (c) After how many hours will the ships be 120 nautical miles apart? (d) What will be the bearing of B (the direction of the position of B) relative to A at that time? (For your angles, takes east to be the positive x-direction, and north of east to be a positive angle. The angles are measured from -180 degrees to 180 degrees. Round your angles to the nearest degree.)

Explanation / Answer

Ok, let's find "A" velocity but first let's set the following :
positive y axiss = north

negative y axiss = south

positive x axiss = west

negative x axiss = east

"A" velocity :

Northwest means : velocity making 45

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