Q 3010591419.     A balloon moving in a straight line passes vertically above two points A and B on horizontal plane `1000\ ft` apart. When above A it has an altitude of `60^{0}` as seen from B. When above B it has an altitude of `45^{0}` as seen from A. The distance of B from the point at which it will touch the plane is

A

`500(\sqrt{3}+1)\ ft`

B

`1500\ ft`

C

`500(3+\sqrt{3})\ ft`

D

`500\ ft`

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