\( A B C \) is a triangular park with \( A B=A C=100 \) metres. \( A \) dock tower is situated a...
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\( A B C \) is a triangular park with \( A B=A C=100 \) metres. \( A \) dock tower is situated at the mid-point of \( B C \). The angles of elevation of the top of the tower at \( A \) and \( B \) are \( \cot ^{-1} 3.2 \) and \( \operatorname{cossec}^{-1} 2.6 \) respectively. The height of the tower in meter, is
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