5. An airplane is flying at 180 miles per hour on a bearing of 15 (or 15E of N ). During the flight, the wind is 60 miles per hour at a bearing of 47 (or 47E of N ). 4 pts each (a) Sketch a diagram representing both the airplane and the wind as vectors. (b) Write both vectors in component form. Remember, you must change these angles to standard position. (c) Find the sum of the plane and wind vectors, resultant R. (d) Use the parallelogram rule to sketch the resultant vector. (e) Determine the actual course of the plane, both the groundspeed (magnitude) and the direction angle