# 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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