1.

The angle of elevation of the top of a tower from a point A due south of the tower is \[\alpha \]and from a point B due east of the tower is \[\beta \]. If AB =d, then the height of the tower is   [Roorkee 1979; Kurukshetra CEE 1998]

A. \[\frac{d}{\sqrt{{{\tan }^{2}}\alpha -{{\tan }^{2}}\beta }}\]
B. \[\frac{d}{\sqrt{{{\tan }^{2}}\alpha +{{\tan }^{2}}\beta }}\]
C. \[\frac{d}{\sqrt{{{\cot }^{2}}\alpha +{{\cot }^{2}}\beta }}\]
D. \[\frac{d}{\sqrt{{{\cot }^{2}}\alpha -{{\cot }^{2}}\beta }}\]
Answer» D. \[\frac{d}{\sqrt{{{\cot }^{2}}\alpha -{{\cot }^{2}}\beta }}\]


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