Given figure is the \(2D\) view of cube \((10\text{ m}\times10\text{ m}\times10\text{ m})\) which has \(600\text{ m}^3\) of water (dotted part), if cube is tilted with an angle \(\theta\) such that \(AB=2\text{ m}\), find the measure of \(\theta\) in degrees.

###### this problem is original

Give your answer to 3 decimal places.

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