$${\mathtt{degrees}} = {\frac{{\mathtt{rad}}{\mathtt{\,\times\,}}{\mathtt{180}}}{{\mathtt{\pi}}}}$$
so
$${\frac{{\frac{{\sqrt{{\mathtt{3}}}}}{{\mathtt{2}}}}{\mathtt{\,\times\,}}{\mathtt{180}}}{{\mathtt{\pi}}}} = {\mathtt{49.619\: \!600\: \!587\: \!961\: \!284\: \!5}}$$
about 50 degrees