Final answer:
The angle between the final transmitted light and the first polarizer is 44.0°, obtained by adding the initial orientation angle of 22.0° with respect to each polarizer to another angle of the same value.
Step-by-step explanation:
The student is asking about the transmission of polarized light through two polarizers oriented at different angles to one another. Since the light is initially polarized at a 22.0° angle to each polarizer and the polarizers are oriented at 44.0° to one another, the angle of the final transmitted light with respect to the first polarizer would be 22.0° + 22.0° = 44.0°. This is because the light, after passing through the first polarizer, is polarized along the axis of that polarizer one, therefore, when it enters the second polarizer that is at an angle of 44.0° to the first, it will be effectively oriented at an angle of 22.0° to it. After passing through the second polarizer, the light maintains this angle as the new direction of polarization, resulting in a total angle of 44.0° with respect to the first polarizer.