# Math

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

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1. Looks like a clear-cut case of the cosine law,
with sides 655(1.5) or 982.5 and
655(2) or 1310
miles and an angle of 170° between them

let the third side be x
x^2 = 982.5^ + 1310^2 -2(982.5)(1310)cos170°
= 5216449.127
x = √ 52....
= 2283.95 miles

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