course fluid mechanics Hinged at point $A$

${}_{\text{w}\text{a}\text{t}\text{e}\text{r}}=9,79k\frac{N}{m^3}$

$h_P=\frac{I_C*sin}{h_C*A}+h_C$

There is water at $20C$ to the left of the gate in the figure. The width of

the gate $($width into the paper$)$ is $2m.$ The weight of the gate will be

$I_C=\frac{b*h^3}{12}$

neglected. It is sufficient to apply $264,33kN$ of force from the upper

edge to keep the gate upright. Calculate the water depth $($h$)$ given in the

figure.