\( P Q \) is a post of given height \( a \), and \( A B \) is a tower at some distance. If \( \a...

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\( P Q \) is a post of given height \( a \), and \( A B \) is a tower at some distance. If \( \alpha \) and \( \beta \) are the angles of elevation of \( B \), the top of the tower, at \( P \) and \( Q \) respectively. Find the height of the tower and its distance from the post.
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