A cruise ship maintains a speed of 17 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 21 degrees off a direct heading to Barbados. The captain maintains the 17 dash knot speed for 13 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 17 dash knot speed is maintained?