\( D E \) is tower standings on a horizontal plane and \( A B C D \) is a straight line in the p...
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\( D E \) is tower standings on a horizontal plane and \( A B C D \) is a straight line in the plane. The height of the tower subtends an angle \( \theta \) at \( A, 2 \theta \) and \( B \), and \( 3 \theta \) at \( C \). If \( A B \) and \( B C \) be respectively 50 and 20 metres, find the height of the tower and the distance \( C D \).
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