An infrared semiconductor laser that is used in a data transmission will emit a light source into a silicon-based optical fiber. The core of the fiber is made up of silicon which has a refractive index of 3.42. The coating material of the fiber is silicon dioxide which has a refractive index of 1.44. Determine what the maximum angle will be at which the light will strike the silicon dioxide interface and will still have the opportunity of becoming totally internally reflected.