$22.$ A retaining wall $12$ m high has a horizontal backfill on its vertical face to its base. Under normal conditions the backfill has a water content of $\backslash (10\backslash \%\backslash )$ and a void ratio of $0\mathrm{.}50.$ The specific gravity of the soil is $2\mathrm{.}50$ and the angle of internal friction is $\backslash (20^\{\backslash$circ$\}\backslash ).$ Use Rankine's theory of lateral force. Compute the horizontal force if the backfill is fully saturated with rainwater.

a$.145\mathrm{.}1$

b$.1052\mathrm{.}4$

c$.1067\mathrm{.}9$

d$.178\mathrm{.}2$