The Law of Cosines

Question

A pilot flies in a straight path for 1 hour 30 min.
She then makes a course correction, heading 10 degrees to the right of her original course, and flies 2 hours in the new direction.
If she maintains a constant speed of 620 mph, how far is she from her starting position?

She is _____mi from her starting position.
Round answer to two decimal places.

Answer 1

Draw and label a diagram.

First leg is 930 m, second leg is 1240 m

d² = 930² + 1240² - 2(930)(1240)cos 170°