Question $9(25$ pts $)$ Consider the tidal inlet system whose governing variables are given below. By using the Keulegan method, calculate

$($i$)$ the tidal amplitude in the bay,

$($ii$)$ the phase difference between the ocean and the bay side tidal cycle, and

$($iii$)$ the maximum velocity in the tidal channel.

$\backslash$table$[[$Planform bay area,:$15k{m}^2$