Answer:
The correct option is;
5.89°
Step-by-step explanation:
The speed with which the plane flies = 350 mph
The direction of flight of the plane = N 40° E
The speed with which the wind blows = 40 mph
The direction in which the wind blows = S 70° E
Therefore, we have;
The resolution of the components of the motion of the plane, given as follows;
[tex]S_{Plane}[/tex] = 350 × sin(40°)·i + 350 × cos(40°)·j
The resolution of the components of the motion of the wind, given as follows;
[tex]S_{Wind}[/tex] = 40 × sin(70°)·i - 40 × cos(70°)·j
The resultant motion of the plane is given as follows;
[tex]R_{Plane}[/tex] = 262.563·i + 254.435·j
The direction of motion of the plane = tan⁻¹(262.563/254.435) ≈ N 45.9° E
Therefore, the plane's drift = Plane's Track - Plane's Heading = N 45.9° E - N 40° E ≈ 5.9° ≈ 5.89°
Therefore, the correct option is 5.89°.
