An airplane pilot wishes to fly due west. a wind of 80.0 km> h (about 50 mi > h ) is blowing toward the south. (a) if the airspeed of the plane (its speed in still air) is 320.0 km> h (about 200 mi> h ), in which direction should the pilot head?

Question

contestada

Respuesta :

aristocles aristocles · Answer 1 · 2018-09-18T02:27:36+02:00

let the plane is flying at some angle theta with west towards north

Now we can use the components

[tex]v_y = 320 sin\theta[/tex]

[tex]v_x = 320 cos\theta[/tex]

now since plane has to fly towards west so net speed in north must be equal to speed in south for air

So we can say

[tex]320 sin\theta = 80[/tex]

[tex]sin\theta = \frac{1}{4}[/tex]

[tex]\theta = 14.5 degree[/tex]

so plane has to fly in direction 14.5 degree North of west