This look hard to do but it is not hard if you sort it out. Use vector addition.
North is 0 degrees. South is 180 degrees. N and S will be the Y direction
East is 90. West is 270. E and W will be the X direction.
Use the cos function to give the Y values.
8*cos(0) + 2*cos(270) + 5*cos(120) = 5.5kph in the North direction
Use the sin function to give the X values.
8*sin(0) + 2*sin(270) + 5*sin(120) = 2.3kph in the East direction
Now take the arctan(5.5/2.3) =67.3 degrees. This is the true direction of travel.
Then take sqr(2.3^2 + 5.5^2) =6.0kph. This is the true speed to surface of Earth.