Fraction Of The Intensity Incident

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The discussion revolves around calculating the fraction of intensity that passes through two crossed Polaroid filters when the analyzer is rotated. The user initially calculates the transmitted intensity using the formula I2 = (1/2) Io cos^2(theta), applying an angle of 227.5 degrees. However, there is confusion regarding whether the angle should be 55 degrees instead. Clarification is sought on the correct angle to use in the calculation. The final answer hinges on confirming the appropriate angle for accurate results.
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Two Polaroid filters are initially crossed. The analyzer is rotated through an angle of 55.0 degrees. Find the fraction of the intensity incident on the polarizer which passes the analyzer.

I used
I1=1/2 Io
I2= I1cos
I2= 1/2 Io cos^2(theta)
= 1/2 Io cos227.5°
= .393 Io

Is this correct or should the angle be 55 degrees??
 
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Just want to know if anyone has an idea if this is correct?
 

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