Plane velocity needed for 640m/s ground speed with wind at 150m/s

[nagaromo]

Homework Statement

A plane has a max airspeed of 770m/s. If the wind velocity is 150m/s 48^o W of S, in what direction and with what velocity should the pilot fly the plane to have a ground velocity of 640m/s at 57^o E of S? Can She do it?

Homework Equations

V(plane to wind) + V(wind to ground) = V(airplane to ground)

The Attempt at a Solution

Well, I actually got to some answer, but I need someone to help me check if it is correct. If not, can you please help me?

For velocity and direction I got 686.6m/s at 19^o S of E.

Thank you!

 

[nagaromo]

nvm i solved it on my own.. i got 694.11m/s 20.9 S of E