A light beam in air enters a block of transparent material at an angle of 28.0˚ with respect to the normal. After refraction it makes an angle of 19.0˚ with respect to the normal.
a) Find the index of refraction of the material.
b) In a second setting, the light actually originates within the transparent material. It enters the surface at an angle of 38.9˚ with respect to the normal before emerging out in the air. What angle would it make with the surface of the material once it emerges out in the air?