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 28° off a direct heading to
Barbados. The captain maintains the 22-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 22-knot speed is maintained?

(round to one decimal place)