The angle of elevation of a cliff at a point \( A \) on the ground andapoint \( B, 100 \) m vert...
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The angle of elevation of a cliff at a point \( A \) on the ground andapoint \( B, 100 \) m vertically at \( A \) are \( a \) and \( \beta \) respectively. The height of the cliff is
(A) \( \frac{100 \cot \alpha}{\cot \alpha-\cot \beta} \)
(B) \( \frac{100 \cot \beta}{\cot \alpha-\cot \beta} \)
(C) \( \frac{100 \cot \beta}{\cot \beta-\cot \alpha} \)
(D) \( \frac{100 \cot \beta}{\cot \beta+\cot \alpha} \)
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