Design a triangular channel lined with rock riprap to carry a discharge of $25cfs.$ Assume a bottom slope of $S_0=0\mathrm{.}004$ and specific weight of water $=62\mathrm{.}4lb\frac{f}{f}{t}^3.$ Find the required depth and top width $($in ft$)$ associated with the best hydraulically efficient cross$-$section. Confirm that the design passes the depth and shear stress checks.