A 12.0-m rectangular channel, having a bed slope of 50 cm/km and a Manning roughness coefficient of 0.015, conveys water at a normal depth of 1.0 m. A dam is built across the channel at which the...

A 12.0-m rectangular channel, having a bed slope of 50 cm/km and a Manning roughness coefficient of 0.015, conveys water at a normal depth of 1.0 m. A dam is built across the channel at which the water depth is 2.0 m. Calculate the depth of flow 2.0 km upstream of the dam using the step-by-step method.