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A solid wooden post with a height of 110 in and a square cross section of...

A solid wooden post with a height of 110 in and a square cross section of 8 in ⨯ 8 in has a board of the same width suspended from its center with L-brackets of negligible weight. If the thickness of the board is 1 in, then how long can the board to avoid making the post fall?

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