A horizontal rectangular stilling basin $($U$.$S$.$B$.$R$.$ Type III$)$ is used at the outlet of a spillway to dissipate energy. The spillway discharges $800$ ft$3/$s and has a uniform width of $80$ ft$.$ At the point where the water enters the basin, the velocity is $20$ ft$/$s$.$ Compute

$($a$)$ the sequent depth of the hydraulic jump,

$($b$)$ the length of the jump,

$($c$)$ the energy loss in the jump,

$($d$)$ the efficiency of the jump defined as the ratio of specific energy after to the specific energy before the hydraulic jump.