A geometry problem by Francois Tardieu

Geometry Level 3

Given that \(E, D, C\) are on a straight line.
And \(AB=HD=0.5\text{ m}\), \(BD=4\text{ m}\).

Find the minimum angle of \(x\) (in degrees) such that it minimizes the length \(EC\).

Give your answer to 2 decimal places.

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