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An object is observed from the points A, B and C lying in a horizontal straight line which passes directly underneath the object. The angular elevation at B is twice that at A and at C three times that at A. If `AB = a, BC b` then the height of the object is

A

`(3a)/(2b) sqrt((a+b)(3b-a))`

B

`(3)/(2b) sqrt((a+b)(3a-b))`

C

`(a)/(2b) sqrt((a+b)(3b-a))`

D

None of these

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The correct Answer is:
C
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