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If the angle of elevation of the top of a summit is `45^@` and a person climbs at an inclination of `30^@` upto 1 km, where the angle of elevation of top becomes `60^@`, then height of the summit is

A

`(sqrt(3) - 1)/(sqrt(3) +1)`

B

`( sqrt(3) + 1)/(sqrt(3) - 1)`

C

`(1)/(sqrt(3)-1)`

D

`(1)/(sqrt(3) + 1)`

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