A cruise ship maintains a speed of 22 knots (nautical miles per hour) sailing from San Juan to Barbados, a distance of 600 nautical miles. To avoid a tropical storm, the captain heads out of San Juan at a direction of 35° off a direct heading to Barbados. The captain maintains the 22-knot speed for 6 hours, after which time the path to Barbados becomes clear of storms. (a) Through what angle should the captain turn to head directly to Barbados? (b) Once the turn is made, how long will it be before the ship reaches Barbados if the same 22-knot speed is maintained? (a) The captain should head through an angle of º. (Do not round until the final answer. Then round to one decimal place as needed.) Barbados 35° San Juan

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.2: Law Of Cosines
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15. Homework assignment

A cruise ship maintains a speed of 22 knots (nautical miles per hour) sailing from San Juan to Barbados, a distance of 600 nautical miles. To avoid a tropical storm, the captain heads out of San Juan at a direction
of 35° off a direct heading to Barbados. The captain maintains the 22-knot speed for 6 hours, after which time the path to Barbados becomes clear of storms.
(a) Through what angle should the captain turn to head directly to Barbados?
(b) Once the turn is made, how long will it be before the ship reaches Barbados if the same 22-knot speed is maintained?
(a) The captain should head through an angle of
º.
(Do not round until the final answer. Then round to one decimal place as needed.)
Barbados
35°
San Juan
Transcribed Image Text:A cruise ship maintains a speed of 22 knots (nautical miles per hour) sailing from San Juan to Barbados, a distance of 600 nautical miles. To avoid a tropical storm, the captain heads out of San Juan at a direction of 35° off a direct heading to Barbados. The captain maintains the 22-knot speed for 6 hours, after which time the path to Barbados becomes clear of storms. (a) Through what angle should the captain turn to head directly to Barbados? (b) Once the turn is made, how long will it be before the ship reaches Barbados if the same 22-knot speed is maintained? (a) The captain should head through an angle of º. (Do not round until the final answer. Then round to one decimal place as needed.) Barbados 35° San Juan
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