By what length is a light ray displaced after passing through a 4.7 cm thick sheet of material (n=1.38) with an incident angle of theta = 33.5°.

Answer 1

Draw yourself a figure and apply Snell's law of refraction. Someone will gladly critique your work.

By the way, Snell did not derive the law that is commonly named for him. He didn't even spell his name that way.. It was Snel. I only learned that recently.