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A cruise ship maintains a speed of 16 knots ​(nautical miles per​ hour) sailing from San...

A cruise ship maintains a speed of 16 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 10 degrees off a direct heading to Barbados. The captain maintains the 16 dash knot speed for 7 ​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 16 dash knot speed is​ maintained?

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