I sit since 2 days on it and can't solce it:
A plane flies with the speed of vF=240 km/h in direction of north. It flies into a storm from north east with the wind speed of v=90 km/h. What's the actual speed of the plane above the ground and how big is the angle deviaton between actual course and the heading?
Since vectorial addition usually has 3 variables, I needed a couple of hours to figuring out how it could be solved, so I tried: √(vF^2+v^2) for plane speed, but it doesn't make any sense that it goes faster. With it the angle deviation would be also false.