$(3$ pts$)$ A $2\mathrm{.}75$ m circular storm sewer pipe discharges into a trapezoidal drainage

canal with a bottom width $b=1\mathrm{.}0m.$ and side slopes $m=2.$ Unfortunately,

the storm sewer settled and the outlet point of the storm sewer is $0\mathrm{.}15$ m

below the canal bottom. The public utilities crew have done what they can

to create a smooth ramp up into the canal. When the flow rate $Q=7\mathrm{.}5$

$\frac{m^3}{s},$ the water depth in the storm sewer pipe $y_1=1\mathrm{.}6m.$ Determine the

water depth in the trapezoidal canal immediately downstream of the smooth

transition and draw a profile sketch of the transition.