Question

The engines of a plane are pushing it due west at a rate of 250 mph and the wind is blowing from the southwest at a rate of 25 mph. find the direction of the plane​

Answer 1

84.26° in the south west direction.

Explanation:

I've attached an image showing the triangle formed by the motion of the plane and the wind.

I've depicted the plane being pushed west and the wind moving south west.

Thus, the direction of motion of the plane will be angle θ.

Using trigonometric ratios;

25/250 = cos θ

cos θ = 0.1

θ = cos^(-1) 0.1

θ = 84.26°

Thus will be in the south west direction.