In a support frame, \(A,B,C\) are collinear vertically and \(B,E,D\) are collinear horizontally. Segments \(AD,AE,CD\) are braces. Given \(BE=4\) m, \(BC=9\) m, \(AE=10\) m, and \(\angle BDC=40^\circ\), find
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