Water flows at \(150 \mathrm{ft}^{3} / \mathrm{s}\) in a 3 - \(\mathrm{ft}\)-wide rectangular cleanearth irrigation canal. The canal slope is \(0.275^{\circ}\). At one point, the water depth is \(3 \mathrm{ft}\).

(a) Accurately compute the water depth at a location \(200 \mathrm{ft}\) downstream.

(b) Is the flow at the upstream location subcritical or supercritical? At the downstream location?

(c) Sketch the canal and the water surface profile.