A) \[\frac{a\sin \,(\alpha +\beta )}{\sin \,(\alpha -\beta )}\] metre
B) \[\frac{a\sin \,(\alpha +\beta )}{\sin \,(\beta -\alpha )}\] metre
C) \[\frac{a\sin \,(\beta -\alpha )}{\sin \,(\alpha +\beta )}\] metre
D) None of these
Correct Answer: B
Solution :
\[(H+a)\cot \beta =(H-a)\cot \alpha \] \[H=\frac{a\sin (\alpha +\beta )}{\sin (\beta -\alpha )}\] Using \[\cot \alpha +\cot \beta =\frac{\sin (\alpha +\beta )}{\sin \alpha \sin \beta }\] and \[\cot \alpha -\cot \beta =\frac{\sin (\beta -\alpha )}{\sin \alpha \sin \beta }\].You need to login to perform this action.
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