A plane is flying in the direction 290 degrees ( measured clockwise from north). Its airspeed is 800 km/ hr. The wind at the planes altitude is blowing in the direction 150 degrees ( measured clockwise from north) at 100 km/ hr. what is the true direction ( measured clockwise from north) and ground speed of the plane?

This is what i have so far

for the boat vector

for the wind vector

vector t for the true coarse of plane.

After multiplying and adding both cos and sin of both vectors i have:

that would put me in the third quadrant?

i need to find the angle?

at this point do i subtract 180^0?