A vertical lamp-post of height 9 meters stands at the corner of a rectangular field.The angle of elevation of its top

### Question Asked by a Student from EXXAMM.com Team

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}

#### HINT

(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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