A plane flies at an airspeed of 250 km/h. A wind is blowing at 80km/h in the direction 60 degrees east of north. In what direction should the head in order to fly due north.
I turned the wind into a vector assuming that the wind is blowing 30 degrees from the x axis
I then thought that because the final direction of the plane would be pointing up the Y axis that the i component should be zero, and to make the wind's i component and the airplane's heading i component equal to zero then the air plane would have to head in the following direction of this vector <-69.3, ? >. so I don't know the j component.
I think my main problem is that I don't know how to apply the 250 km/h airspeed to the problem because I want the speed relative to the ground, not to the air.
Can anyone help me out on converting that 250 airspeed to ground speed? or how to apply it in a useful way to the problem?