What angle is needed between the direction of polarized light and the axis of a polarizing filter

Question:

What angle is needed between the direction of polarized light and the axis of a polarizing filter to reduce its intensity by 90.0%?


Strategy

When the intensity is reduced by 90.0%, it is 10.0% or 0.100 times its original value. That is, I = 0.100I0. Using this information, the equation I = I0 cos2 θ can be used to solve for the needed angle.

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