Answer to Question #191873 in Physics for John

Question

plane traveling with a velocity of 400 km/hr due North encounters a side

wind of 80 km/hr blowing due West.

Using a vector diagram of the velocities or other method determine the resultant velocity of the plane.

Answer 1

$$v=\sqrt{80^2+400^2}=408\frac{m}{s}\\\theta=\arctan{\frac{80}{400}}=11.3\degree\text{ W of N}$$