If she maintains a constant speed of 615 miles per hour, how far is she from her starting position?

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 615 mi/h, how far is she from her starting position? In Miles

Answer 1

Draw and label a diagram!

Use Law of Cosines:

d² = 922.5² + 1250² - (2)(922.5)(1250) cos 80°

Can you calculate and answer?