A jeweler is determining the optical properties of an unknown blue gemstone. She uses an angle of incidence of62, and measures an angle of refraction of30. Assuming the index of refraction of air is 1.0, what is the index of refraction of the gem? (round to the nearest hundredths)

If index of refraction 1 is 1.5, index of refraction 2 is 2.0, and the angle of incidence is 45 degrees, what is the angle of refraction? (round to the nearest hundredths)