From the bottom of a pole of height h, the angle of elevation of the top of a tower is \[\alpha \]and the pole subtends angle \[\beta \]at the top of the tower. The height of the tower is [Roorkee 1988]

\[\frac{\cot (\alpha -\beta )}{\cot (\alpha -\beta )-\cot \alpha }\]

\[\frac{h\tan (\alpha -\beta )}{\tan (\alpha -\beta )-\tan \alpha }\]

\[\frac{h\cot (\alpha -\beta )}{\cot (\alpha -\beta )-\cot \alpha }\]

From the bottom of a pole of height h, the angle of elevation of the t

1.	From the bottom of a pole of height h, the angle of elevation of the top of a tower is \[\alpha \]and the pole subtends angle \[\beta \]at the top of the tower. The height of the tower is [Roorkee 1988]
A.	\[\frac{h\tan (\alpha -\beta )}{\tan (\alpha -\beta )-\tan \alpha }\]
B.	\[\frac{h\cot (\alpha -\beta )}{\cot (\alpha -\beta )-\cot \alpha }\]
C.	\[\frac{\cot (\alpha -\beta )}{\cot (\alpha -\beta )-\cot \alpha }\]
D.	None of these
Answer» C. \[\frac{\cot (\alpha -\beta )}{\cot (\alpha -\beta )-\cot \alpha }\]

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From the bottom of a pole of height h, the angle of elevation of the top of a tower is \[\alpha \]and the pole subtends angle \[\beta \]at the top of the tower. The height of the tower is [Roorkee 1988]

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