Problem $2.$ Determination of pier length $(2$ points$).$ The pier includes a docking site at its end. As a safety measure, the dock $($end of pier$)$ must be $50m$ away from the breaking zone and the sediment closure depth. Determine the length of the pier and the depth at the docking site.

Hint $1$: For the breaking criterion use $k=0\mathrm{.}78=\frac{H}{h}.$ You can use the approximation of section $3\mathrm{.}4\mathrm{.}2($i$.$e$.$ the angle is approximately $0$ at the breaking zone$).$ Use the wave height of Prob. $1$

Hint $2$: For the closure depth use the "deeper seaward closure depth" and the formula of Hallermeier and Birkemeier. Compute He with $\frac{?}{\text{b}\text{a}\text{r}}(H)s$ and $$ s from the table.