Question

HELP ASAP PLEASE

A plane flies at 350 mph in the direction N 40° E with a wind blowing at 40 mph in the direction S 70° E. What is the plane’s drift angle?

5.89°
6.38°
45.89°
46.38°

Answer 1

5.89

Explanation:

so u don't have to look at that long one lol.

Answer 2

The correct option is;

5.89°

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;

`S_(Plane)` = 350 × sin(40°)·i + 350 × cos(40°)·j

The resolution of the components of the motion of the wind, given as follows;

`S_(Wind)` = 40 × sin(70°)·i - 40 × cos(70°)·j

The resultant motion of the plane is given as follows;

`R_(Plane)` = 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°.