A $25-$ft$-$high spillway is placed across a $20-$ft$-$wide

rectangular channel. The downstream channel is run$-$

ning on a slope of $0\mathrm{.}000845$ with an estimated Man$-$

ning $n$ value of $0\mathrm{.}03.$ If the spillway is passing a

discharge of $300cfs,$

a$.$ What is the total depth of water behind the

spillway? Assume a $C$ value of $3\mathrm{.}3.$

b$.$ Ignoring losses, what is the depth at the toe?

c$.$ Will a hydraulic jump form downstream of the

spillway, and, if so$,$ what will be its conjugate

depths?

d$.$ Sketch the situation of this problem, both

upstream and downstream, being careful to label

all of the profiles.