A cruise ship maintains a speed of 9 knots ​(nautical miles per​ hour) sailing from San Juan to​ Barbados, a distance of 600 nautical miles

nautical-miles

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A cruise ship maintains a speed of 9 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 37° off a direct heading to Barbados. The captain maintains the 9-knot speed for 77 ​hours, after which time the path to Barbados becomes clear of storms.​

Answer:

A cruise ship maintains a speed of 9 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 37° off a direct heading to Barbados. The captain maintains the 9-knot speed for 77 ​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 9-knot speed is​ maintained?