To answer this question you first need to find the tension in the string when vertical.
T=mg
g=9.8m/s
2
T=19.6 N
Now you can use this to make a tension triangle. The vertical side adjacent to θ is 19.6 N, and the hypotenuse is 23 N.
Use cos-1(19.6 / 23) to find the angle θ.
θ = 31.6 degrees