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
\( \mathrm{P} \) of the man, and the distance between them is equal to the length of the longer post, then the ratio

W 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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