A standard round bottom triangular canal section as shown in the figure has a bed slope of $1$ in $200$. Consider the Chezy's coefficient as $150 \mathrm{~m}^{1 / 2} / \mathrm{s}$.
The normal depth of flow, $y$ (in meters) for carrying a discharge of $20 \mathrm{~m}^{3} / \mathrm{s}$ is $\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).