Solve the system

Question

A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10 degrees to the right of her original course, and flies 2 h in the new direction. If she maintains a constant speed of 605 mi/h, how far is she from her starting position?

Your answer is   mi;

Enter your answer rounded to two decimal places.

Answer 1

Draw and label a diagram.

The first leg of the trip is 907.5 mi.

The second leg is 1210 mil.

The angle between the two legs is 100°

Use the Law of Cosines

d² = 907.5² + 1210² - 1(907.5)(1210) cos 100°

Can you solve for d and answer?.