Question

The captain of a plane wishes to proceed due west. The cruising speed of the plane is 226 m/s relative to the air. A weather report indicates that a 31.0-m/s wind is blowing from the south to the north. In what direction, measured with respect to due west, should the pilot head the plane?

Answer 1

Answer:

$7.81^o$ South of West

Explanation:

We can assume that the cruising speed relative to the air is the same relative to the ground due west.

because the wind will exert a velocity due north, we have to modify our direction in order to avoid that velocity (Vw).

$V=~Vp-~Vw$

The angle is given by:

$\alpha =arctg(\frac{-31}{226})=-7.81^o$

from the west, that is [tex]7.81^o[\tex] South of West