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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