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 645 mi/h, how far is she from her starting position?

Answer 1

Below

Explanation:

Break into components

1.5 + 2 cos 10 = 3.4696 hr for the 'x' components

2 sin 10 = .347296 hr the 'y' component

Use Pythag theorem to find hrs from start

sqrt (3.4696^2 + .347296^2 ) = 3.478295 hr

3.478295 hr * 645 mi/hr = 2243.5 mi from start position