A picture is attached to a wall by two nails in the upper corners (these nails are at the very corners and also at the same height). The picture is wider horizontally than it is tall. Suddenly, one of the nails comes loose and so loses contact with the wall. If right after that moment, the y-component of the force acting on the picture by the other nail (still in contact with the wall) is unchanged, find the ratio of the horizontal width to the vertical height of the picture.

**Details and assumptions**

- The acceleration of gravity is \(-9.8~\mbox{m/s}^2\).

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