JEE PHYSICS MCQ: RAY OPTICS

Let the $x - z$ plane be the boundary between two transparent media. Medium $\mathrm{1}$ in $z\,\, \ge \,\,0$ has a refractive index of $\sqrt 2$ and medium $\mathrm{2}$ with $z\,\, < \,\,0$ has a refractive index of $\sqrt 3$. A ray of light in medium $\mathrm{1}$ given by the vector $\mathbf{A} = 6\,\sqrt 3 \hat i + \,\,8\sqrt 3 \hat j\,\,-\,\,10\,\hat k$ is incident on the plane of separation. The angle of refraction in medium $\mathrm{2}$ is