Q 3030091812.     A flag is mounted on the semi-circular dome of radius r. The elevation of the top of the flag at some point on the ground is `30^{0}. ` Moving d distance towards the dome, when the flag is just visible the angle of elevation is `45^{0}`, then the relation between r and d is

A

`r= \frac{d}{\sqrt{2}(\sqrt{3}-1)}`

B

`r= \frac{d(2\sqrt{2})}{\sqrt{3}+1}`

C

`r= \frac{d}{\sqrt{2}(\sqrt{3}+1)}`

D

`r= \frac{d(2\sqrt{2})}{\sqrt{3}-1}`

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