The speed of an airplane is 300 mi/h relative to the air. The wind is blowing due north with a speed of 30 mi/h. In what direction should the airplane head in order to arrive at a point due west of it's location?

Question

11803 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-27T14:34:21

See answer below

The angle #\theta# of direction of airplane from the due west towards south is given by using property of vector right triangle as follows

#\sin\theta=30/300#

#\theta=\sin^{-1}(1/10)#

#=5.739^\circ#

Hence the plane must fly at angle of #5.739^\circ# from due west towards south to reach the desired point in due west.