12. A cruise ship has a speed (with respect to the water) of 26 knots, and sails on a heading of S40°E. The current has a velocity of 12 knots, S10°W. a) Determine the velocity of the ship relative to the earth. b) After spending the day in port, the ship heads to a new island that is N40°E of its current position. What direction must the captain steer to maintain this direction? c) The new island is 600 nautical miles away. How long will it take to sail there?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.8: Applications And Models
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/ 12. A cruise ship has a speed (with respect to the water) of 26 knots, and sails on a
heading of S40°E. The current has a velocity of 12 knots, S10°W.
a) Determine the velocity of the ship relative to the earth.
b) After spending the day in port, the ship heads to a new island that is N40°E of its
current position. What direction must the captain steer to maintain this direction?
c) The new island is 600 nautical miles away. How long will it take to sail there?
Transcribed Image Text:/ 12. A cruise ship has a speed (with respect to the water) of 26 knots, and sails on a heading of S40°E. The current has a velocity of 12 knots, S10°W. a) Determine the velocity of the ship relative to the earth. b) After spending the day in port, the ship heads to a new island that is N40°E of its current position. What direction must the captain steer to maintain this direction? c) The new island is 600 nautical miles away. How long will it take to sail there?
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