Trigonometric Functions

Question

A U.S. Coast Guard Response Boat leaves Charleston, South Carolina at 2:30 p.m. heading due east at an average speed of 46 knots (nautical miles per hour). At 5:00 p.m., the boat changes course to N 19° E. At 9:30 p.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:(choose direction: E,N,S,W) ___ ° (choose direction: E,N,S,W)

Distance from Charleston, South Carolina:____ nautical miles

 

Answer 1

Draw and label a diagram!

A is the starting point

B is the turning point

C is the end point

AB = ?

BC = ?

m∠ ABC = ?

Use Law of Cosines to determine AC

Use Law of Sines to deteremine m∠CAB.

Bearing is complement of CAB.