A beam of light strikes a sheet of glass at an angle of 57.0^{\circ}57.0 ∘
with the normal in air. You observe that red light makes an angle of 38.1^{\circ}38.1 ∘
with the normal in the glass, while violet light makes a 36.7^{\circ}36.7 ∘
angle. (a) What are the indexes of refraction of this glass for these colors of light? (b) What are the speeds of red and violet light in the glass?