Question 278447
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If his heading is due south, then the heading is 180°.


Magnitude of the resulting vector:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sqrt{310^2\ +\ 40^2]


Offset angle:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \phi\ =\ \tan^{-1}\,\frac{40}{310}]


Then his actual heading will be


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 180\ +\ \phi]


Plus sign because wind is from the east.  You can do your own calculator work.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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