So, the hypotenuse BA when h=12 is 16.97, and when h=16 it is 20.
To find the spring force, F=-k(xo-xf) =-4lb/in(16.97in-20in)=12.12lbs
Now, to find the angle, which would be sin(\theta)=12/20 so, \theta = 36.869 degrees.
Now, splitting components, y=12.12*cos(36.869)=9.696lbs = vertical...