If the wind velocity is 43 km/h due south, in what direction should the pilot set her course to travel due west? Use the same airspeed of 212 km/h

Respuesta :

Answer:

11.48 degree N of W

Explanation:

We are given that

Wind velocity=[tex]v_w=-43[/tex]km/h

Because wind is blowing towards south

Air speed=[tex]v_a=-212km/h[/tex]

Because the captain want to move with air speed in west direction.

x component of relative velocity=-212 km/h

y-Component of relative velocity=-43km/h

Direction=[tex]\theta=tan^{-1}(\frac{y}{x})[/tex]

[tex]\theta=tan^{-1}(\frac{-43}{-212}=11.48^{\circ}[/tex]N of W

Hence, the direction in which the pilot should set her course to travel due west=11.48 degree N of W

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