Optimize Peripheral Vision

Geometry Level 3

\(ABDC\) is a rectangle and \(P\) is a point on the straight line \(\overline{AB}\). The lengths of \(\overline{AC}\) and \(\overline{AB}\) are 1 and \(\dfrac{2}{\sqrt3}\), respectively. Find the maximum value of \(\theta\) to the nearest integer.

Enter your answer in degrees.

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