An anchored sheet pile is shown. Determine,

$($a$)$ the embedment depth, D$.(15\%)$

$($b$)$ the total pile length, considering the actual embedment depth. $(2\%)$

$($b$)$ maximum moment. $(2\%)$

$($c$)$ the force on the anchor per unit length of the wall. $(2\%)$

$($d$)$ a pile section designation suitable for the determined section modulus, S$.(5\%)$

Also show the lateral earth pressure distribution and draw the moment diagram in the figure below. $(4\%)$