$(20$ pts$.)$ A natural earthen channel that is straight and in good condition that can be approximated with a trapezoidal shape has a bottom width of $10\mathrm{.}0ft$ with side slopes on the left side of $2\mathrm{.}5H$ to $1V$ and on the right side of $3H$ to $1V($two different side slopes$)$ carries a discharge of $250cfs$ for a $15-$year design storm. The channel slope is $0\mathrm{.}0018f\frac{t}{f}t.$ Determine the following:

a$)$ Normal Depth $=$

b$)$ Critical Depth $=2\mathrm{.}19ft$

c$)$ Critical Slope $=0\mathrm{.}0082f\frac{t}{f}t$

d$)$ Froude number $=0,49$

f$)$ What is the flow type? subcritical flow

answers should be next to the questions $($except normal depth$).$ need steps to get to the answers.