If theta_i is polarizing angle and theta_c is critical angle for a medium, taking other medium as air for which refractive index=1, then the two are related via expression tantheta i=1/sintheta_c ...........(1) =>theta_i=tan^-1(1/sintheta_c)
Inserting given values we get theta_i=tan^-1(1/0.6) theta_i=59.0^@, rounded to one decimal place.