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A physics student wants to measure the polarization of light passing through a polarizer. The polarizer is placed between the light source and the detector. The student rotates the polarizer by an angle of 30 degrees and observes a reduction in the intensity of the light of 50%. What is the angle between the transmission axes of the polarizer and the incident light? (Use Malus' Law to solve the problem.)
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<|begin_of_thought|>

Deep Thought is thinking for 7.5 million years.

<|end_of_thought|>

<|begin_of_solution|>

The answer is 42.

<|end_of_solution|>