While direct sunlight is unpolarized, light coming from a clear blue sky is line

Question

While direct sunlight is unpolarized, light coming from a clear blue sky is linearly polarized to some extent. Assume all the light from the blue sky is linearly polarized in the same direction. Suppose a school library has installed skylight windows in the ceiling of the atrium to allow for natural lighting. The windows are polarized so that the intensity of light from the polarized blue sky is reduced by 66%. What is the angle between the polarization direction of the light and the polarization axis of the windows?

Explanation / Answer

Intensity after passing through polarizer= Initial intensity *cos^2(theta)

=>0.66=cos^(theta)

theta=35.67 degree

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