Ellipse Inscribed in a Parallelogram

Geometry Level 4

In parallelogram \( ABCD \), we have side \( AB = 10 \), \( BC = 16 \), and \( \angle ABC = 60^{\circ} \). The ellipse shown is inscribed in the parallelogram and has it major axis making a positive angle of \( 18^{\circ} \) with the positive \(x\)-axis. Find the length of the major axis of the ellipse.

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