Bending of rays

A ray of light is incident making an angle $\theta$ with the axis on one plane end of a transparent cylindrical fiber as shown in the figure. It is observed that for $\theta>45^{o}$ , the ray of light entering the cylinder, will come out of the curved surface The refractive index of the material of the cylinder up to two decimal places

Take $\sqrt{3}=1.732$ and $\sqrt{2}=1.414$