# calculus

Multiple choice: An airplane flying due east at 539 mph in still air, encounters a 61-mph tail wind acting in the direction 45 degrees north of east. The airplane holds its compass heading but because of the wind acquires a new ground speed and direction. What is its new direction?
a) 5 degrees
b) 85.8 degrees
c) 4.2 degrees
d) 85 degrees

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1. add the two vectors and you get

<539,0> + <43,43> = <582,43>
arctan(43/582) = 4.2°

As a bearing, that's E 4.2° N, or 85.8°

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posted by Steve

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