A new bridge is being placed in a channel to accommodate a new development. The existing concrete lined (n=0.013) rectangular channel is 45 feet wide with a flow depth of 10 feet and flowrate of 1,500 cfs. A contraction needs to be placed to reduce the cost of installing a bridge over the channel. What is the smallest possible contraction (width) that can occur so that the upstream flows do not overtop the channel? (show work)
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