A cruise ship maintains a speed of 15 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 15-knot speed for 15 hours, after which time the path to Barbados becomes clear of storms.

Trigonometry (MindTap Course List)
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Chapter3: Additional Topics In Trigonometry
Section3.2: Law Of Cosines
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A cruise ship maintains a speed of 15 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 15-knot speed for 15 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 15-knot speed is maintained?
Transcribed Image Text:A cruise ship maintains a speed of 15 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 15-knot speed for 15 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 15-knot speed is maintained?
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