A plane's airspeed is 400 miles per hour on a heading of 45 degrees south of east (compass: 135 degrees, babylonian 315 degrees). if a wind is blowing from the west with a speed of 50 miles per hour, what is the ground speed and direction of the plane?
If we are to draw the motion of the plane and the wind in a Cartesian plane, we take East and North as the positive x and y-axis, respectively. Also, we have the West and South as the negative x- and y-axis, respectively.
To answer this item, we take the x- and y-components of the speeds.
