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Vectors in the Plane: Plane+Wind question

  • Thread starter pugfug90
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  • #1
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Homework Statement


An airplane has an airspeed of 430 mph at a bearing of S 45 degrees E. If the wind is 35 MPH in direction of N 30 degrees E, find groundspeed and direction of plane.


Homework Equations


[[v]]([cos theta], [sin theta])


The Attempt at a Solution



430(cos 315,sin315)+35(cos30,sin30)=?????<334.4,-286.6>
[[v]]=????~440..

Back of book says that the ground speed is 422.3.. and if i go the vector wrong, that means magnitude and direction will be wrong also.. Where did I go wrong?
 

Answers and Replies

  • #2
HallsofIvy
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If the numbers you give are correct, then you have it right. The ground speed is 440.3, not 422.3.
 
  • #3
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Hope you're right. This isn't the 1st time the book has a typo or something.
 

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