# 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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