The angle of elevation of the top of a hill from each of

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The angle of elevation of the top of a hill from each of the vertices A, B, C of a horizontal triangle is α. The height of the hill is :

1. b tan α cosec B
2. a tan α cosec A
  2
3. c tan α cosec C
  2
4. None of these

Correct Option: B

As per the given details of above question , we have
The distance of the foot from each vertex = h cotα.
∴ The foot is at the circumcentre of the triangle.
∴ R = h cotα

∴ R = h tanα	=	a	tanα	=	a	tanα . cosecα .
		2sinα			2

a	tan α cosec A
2

c	tan α cosec C
2