1. The problem statement, all variables and given/known data 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. 2. Relevant equations [[v]]([cos theta], [sin theta]) 3. 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?