In a laboratory experiment, a beam of light passes through a flat glass plate with a refractive index of 1.5 at an angle of incidence of 30 degrees relative to the normal. After refracting into the glass, the light travels to the far side of the plate at an angle of refraction. The plate is 2 cm thick, and you are tasked with calculating the distance 'd' that the light travels within the glass before it reaches the opposite face of the plate. Assume no absorption or scattering occurs within the glass. What is the distance 'd' traveled by the light beam within the glass plate?