HOW FAR IS SHE FROM HER STARTING POINT?

Question

A pilot flies in a straight path for 1 hour, 30 min. She then makes a course correction, heading 10° to the right of her original course, and flies 2 hours in the new direction. If she maintains a constant speed of 660 miles per hour, how far is she from her starting position? (Round your answer to two decimal places.)

Answer 1

Draw and label a diagram!

A is the starting point.

B is the turning point

C is the ending point

m∠ABC = 170°

AB = 990

BC = 1320

By Law of Cosines

AC² = 990² + 1320² - 2(990)(1320 cos 170º