Assignment:
A plane sets a course to fly with a ground speed of 200 km/h due east while climbing at an angle of 14 degrees. Upon takeoff, it is affected by a 20 km/h wind blowing directly north, as shown in the diagram below.
a) Model this problem using two 2D diagrams (?ABC and ?ACD).
b) Calculate the speed (x) of the plane.
c) Calculate the direction (b) that the plane is flying off its course.
d) What course correction should the pilot set to remain on track?
Provide complete and step by step solution for the question and show calculations and use formulas.