Homework Help: math

Posted by Lilit on Wednesday, December 10, 2008 at 11:44pm.

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

math - drwls, Thursday, December 11, 2008 at 1:51am
1020 miles in the first direction and 1360 miles in the second direction. Add them as vectors.

The distance traveled has components of
1360 + 1020 cos 10 = 2364.5 in the final direction and 1020 sin 10 = 177.1 in the perpendicular direction. The resultant is
sqrt (2364.5^2 + 177.1^2) = 2371.1 miles

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