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An airplane travels 200 miles due west and then 150 miles 60° north of west. The direction i get is 21.64° north of west but the book's answer is 25.17° north of east....I don't understand how so?

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  • $\begingroup$ Homework questions are generally closed as off-topic here. This question doesn't show any attempt at finding the answer either. $\endgroup$
    – Charlie
    Sep 25, 2020 at 13:57
  • $\begingroup$ Sorry i didn't understand what u said? $\endgroup$
    – Meow
    Sep 25, 2020 at 14:05
  • $\begingroup$ If you want a precise answer, you need to consider that the plane is flying across the surface of a sphere. $\endgroup$
    – R.W. Bird
    Sep 25, 2020 at 14:05
  • $\begingroup$ I tried my magnitude matched the books answer but the direction didn't. In the book the direction is given 25.17° north of east...i dont understand how.....Should i add this part on the body of my ques? $\endgroup$
    – Meow
    Sep 25, 2020 at 14:12
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    $\begingroup$ If both motions are to the west, there is no way that the answer can be to the east. The book has made an error. $\endgroup$
    – R.W. Bird
    Sep 25, 2020 at 14:21

1 Answer 1

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Assuming a flat surface, I get the resultant angle as arctan(129.9/275) north of west.

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