A cruise ship maintains a speed of 12 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 38 off a direct heading to Barbados. The captain maintains the 12-knot speed for 11 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 12-knot speed is maintained? Barbados 600 38 San Juan (a) The captain should head through an angle of . (Do not round until the final answer. Then round to one decimal place as needed.)