From a point a metre above a lake the angle of elevation of a cloud is a and the angle of depression of its reflection is b. The height of the cloud is [Roorkee 1983; EAMCET 1983, 85]

\[\frac{a\sin \,(\beta -\alpha )}{\sin \,(\alpha +\beta )}\] metre

\[\frac{a\sin \,(\alpha +\beta )}{\sin \,(\alpha -\beta )}\] metre

\[\frac{a\sin \,(\alpha +\beta )}{\sin \,(\beta -\alpha )}\] metre

From a point a metre above a lake the angle of elevation of a cloud is

1.	From a point a metre above a lake the angle of elevation of a cloud is a and the angle of depression of its reflection is b. The height of the cloud is [Roorkee 1983; EAMCET 1983, 85]
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
Answer» C. \[\frac{a\sin \,(\beta -\alpha )}{\sin \,(\alpha +\beta )}\] metre

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From a point a metre above a lake the angle of elevation of a cloud is a and the angle of depression of its reflection is b. The height of the cloud is [Roorkee 1983; EAMCET 1983, 85]

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