# I've seen it before - 7

Geometry Level 4

A man notices two objects in a straight line due west. After Walking a distance $$x$$ due north he observes that the objects subtend an angle $$\alpha$$ at his eye, and after walking a further distance $$2x$$ due north they subtend an angle $$\beta$$. If the height of the man is being neglected then the distance between the objects is

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