The Government of Guyana is desirous of developing a new housing scheme. After clearing the land, a topographic survey was executed on the land and the proposed drains were demarcated The ground elevation at the commencement of one of the main drains was found tO be 51.010 ft. GD, while the bottom slope of the drain was proposed as 1ft. per mile. To facilitate adequate drainage of the land,the senior engineer is proposing a design discharge of 45 ft3/s. A geotechnical investigation found that the soil consisted of loose sand having an average particle size of 5 mm. Assuming the particles are very angular and the water carries fine sediment at low concentrations: Design a trapezoidal channel given the aforementioned data using the Tractive Force method using b/y = 6; [20] Provide a sketch of your design with the berms (assuming the berm and the commencement of the drain are at the same level), side slopes, and channel bottom all referenced from elevation of the ground