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An aeroplane flying at a height of 3000 ...

An aeroplane flying at a height of 3000 m passes vertically above another aeroplane at an instant when the angles of elevation of the two planes from some point on the ground are `60^(@)` and `45^(@)` respectively. Then the vertical distance between the two planes is

A

`1000(sqrt(3-1))` m

B

`1000sqrt(3)` m

C

`3000 sqrt(3)` m

D

1000 ` sqrt(3)` ( `sqrt(3)` − 1 ) m

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