Going through a medium?

Geometry Level 3

Given a rectangle \(ABCD \) such that \( BC=1 \text{ cm}. \angle AMx=45^\circ, \angle BMN=60^\circ, Mx\parallel Ny \).

Find the perpendicular distance between lines \(Mx\) and \(Ny\).

Give your answer to 1 decimal place.

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