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

`7.81^o` South of West

Step-by-step 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((-31)/(226))=-7.81^o`

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