Step 1: always draw a diagram in these situations.
Step 2: using your knowledge of trig, find x1, x2, y1, y2. (remember that x and y values can be negative depending on what quadrant they are in)
Step 3: add x1 + x2 and y1 + y2. Now you have your new values for how far the plane has traveled from its original position.
Step 4: using the origin as the initial takeoff point plot your new point using the x value and y value you found. The hypotenuse of the resulting new triangle will give you the distance.