A **tri-concave enneagon** of width **"Y"** and height **"Y"** with 3 legs of unit thickness **"X"** rest on the two lower legs +/- 135 degrees with the vertical upper leg. The centroid of the polygon is coincident at the exterior 90 degree apex of the polygon. What proportion of height **"Y"** is the vertical distance to the apex?

Provide your answer to 3 decimal places.

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