Consider a rod of length \( l \) and mass \(m \) resting against a smooth vertical wall and making an angle of \( \theta \) with the horizontal smooth floor.

The rod is released from rest, initially making an angle of \( 75^{\circ} \) with the horizontal. The rod falls and at some angle \( \theta \) it loses contact with the vertical wall. Find this \(\theta \) (in degrees).

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