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.