In what direction should the plane head to reach its destination?

An airplane has to fly eastward to a destination 856 km away. If wind is blowing at 18 m/s northward and the air speed is 161 m/s, in what direction should the plane head to reach its destination?



A) 6.42 degrees south of east

B) 5.32 degrees south of east

C) .11 degrees south of east

D) 11.31 degrees south of east



Please show how you got the answer!In what direction should the plane head to reach its destination?This is a simple trigonometry problem. You know the hypotenuse of the triangle (161 m/s) and the vertical component (18 m/s) and since the wind would be blowing the airplane slightly north of east, it would have to fly slightly south of east. Those a related to the angle by the formula sin(A) = 18/161 (where A is the angle), so A=arcsin(18/161)=6.42 degrees south of east.In what direction should the plane head to reach its destination?...he would fly using his GPS and Gyro Compass and never mind the wind ! (and) make on-course corrections as necessary... (the "wind" is NOT going to stay constant during the entire flight or are the prevailing Wx conditions !) (and) if he's flying IFR, he'll use vector recognition and Local OMNI to complete the flight till he can go ILS or VFR to land.In what direction should the plane head to reach its destination?The question is not complete. If the speed of the plane is mentioned, it can be calculated.