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Q 3010791610.     At the foot of a mountain the angle of elevation of a summit is found to be `45^{ 0}`. After ascending 1 km towards the mountain up. On a slope of inclination `30^{0}`, the angle of elevation is found to be `60^{0}`. The height of the mountain is

A

`400(\sqrt{3}+2) mt`

B

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

C

`200(\sqrt{2}+1) mt`

D

`100(\sqrt{6}+\sqrt{2}) mt`

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