Two ships, A and B, leave port at the same time. Ship A travels northwest at 23 knots and ship B travels at 29 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 180 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.)

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Two ships, A and B, leave port at the same time. Ship A travels northwest at 23 knots and ship B travels at 29 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 180
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.)
(a) Number
(b) Number
34.74
(d) Number
10.29
(c) Number i 5.18
Units
Units (degrees)
Units
knots
Units
h
Transcribed Image Text:Two ships, A and B, leave port at the same time. Ship A travels northwest at 23 knots and ship B travels at 29 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 180 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.) (a) Number (b) Number 34.74 (d) Number 10.29 (c) Number i 5.18 Units Units (degrees) Units knots Units h
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