Forces and equilibrium — practice question

A smooth ring $R$ of mass $0.16\,\text{kg}$ is passed onto a light inextensible string. The string ends are fixed at points $A$ and $B$. A horizontal force of magnitude $11.2\,\text{N}$ acts on $R$, in the same vertical plane as $A$ and $B$. The ring is in equilibrium. The string is taut, with angle $ARB = 90^{\circ}$, and the segment $AR$ of the string is inclined at an angle of $\theta^{\circ}$ to the horizontal (see diagram). The tension in the string is $T\,\text{N}$.