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1. Two vertical poles PQ and ST are secured by a rope PRS going from the top of the first pole to a point R

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1. Two vertical poles PQ and ST are secured by a rope PRS going from the top of the first pole to a point R on the ground between the two poles and then to the top of the second pole as shown in the figure. Show that the shortest length of such a rope occurs when a = 3, where a = ZPRQ and B = ZSRT. P S Q T R

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