A U.S. Coast Guard Response Boat leaves Charleston, South Carolina at 1:30 a.m.

Question

A U.S. Coast Guard Response Boat leaves Charleston, South Carolina at 1:30 a.m. heading due east at an average speed of 44 knots (nautical miles per hour). At 6:30 a.m., the boat changes course to NE. At 10:30 a.m. what is the boat's bearing and distance from Charleston, South Carolina? Round all units to the nearest hundredth.

Bearing from Charleston, South Carolina: (North, East, South, or West )  ? °  (North, East, South, or West )

Distance from Charleston, South Carolina: ?  nautical miles

Answer 1

Draw and label a diagram?

Use Law of Cosines for distance

d² = 220² + 176² - 2(220)(176) cos 45°

Through what size angle does the ship move from a bearing of 90° to 45°.