A beam of light traveling through a transparent material undergoes a change of angle of 53.85 degrees, as shown in the image below. The angle of the transmitted ray, measured with respect to the direction normal to the surface of the material (dashed line in the image below), is 38.81 degrees. What is the index of refraction of the material?
Note: Do not explicitly include units in your answer. The index of refraction is a dimensionless quantity. Enter only a number. If you do enter a unit, your answer will be counted wrong.