A cruise ship maintains a speed of 23 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 17" off a direct heading to Barbados. The captain maintains the 23-knot speed for 10 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 23 knot spoed is maintained?