Answer:
The wind pushed the plane miles in the direction of
East of North with respect to the destination point.
Step-by-step explanation:
Let origin, O, br the starting point and point D be the destination at 250 miles at a bearing of 20° E of S, but due to wind let D' be the actual position of the plane at 230 miles away from the starting point in the direction of 35° E of South as shown in the figure.
So, we have |OD|=250 miles and |OD'|=230 miles.
Vector is the displacement vector of the plane pushed by the wind.
From figure, the magnitude of the required displacement vector is
and the direction is east of north as shown in the figure,
From the figure,
miles
Again,
miles
Now, from equations (i) and (ii), we have
miles, and
Hence, the wind pushed the plane miles in the direction of
E astof North with respect to the destination point.
