Q 3040101913.     A vertical lamp-post of height `9` meters stands at the corner of a rectangular field.The angle of elevation of its top from the farthest corner is ` 30^{\circ}` , while from another corner it is ` 45^{\circ}`. The area of the field is

A

`9\sqrt{2}\: meter^{2}`

B

`81\sqrt{3} \:meter^{2}`

C

` 81\sqrt{2}\: meter ^{2}`

D

`9\sqrt{3}\: meter ^{2}`

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