A triangular channel $($symmetric about the centerline$)$ has side slopes of $3H$:$1V.$ The channel has a slope of $0\mathrm{.}0081\frac{m}{m}$ and has a Manning's $n$ of $0\mathrm{.}04.$ The channel is carrying a flow of $6\frac{m^3}{sec\mathrm{.}0\mathrm{.}06s}$

$0\mathrm{.}015$ Given

$6\frac{m^3}{sec}$

$s=0\mathrm{.}04$

$n=0\mathrm{.}0081\frac{m}{m}$

Part b$.)$ What is the normal depth for this flow?

Part c$.)$ What water surface profile is present if the depth at this location is $1m?$