A man standing between two vertical posts finds that the angle subtended at his eyes by the tops...

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A man standing between two vertical posts finds that the angle subtended at his eyes by the tops of the post is a right angle. If the heights of the two posts are two times and four times the height of the man, and the distance between them is equal to the length of the longer post, then the ratio of the distance of the man from the shorter and the longer post is
(a) \( 3: 1 \)
(b) \( 2: 3 \)
(c) \( 3: 2 \)
(d) \( 1: 3 \)
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