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QUESTION $1$

Figure shows a wet slope of a cohesionless soll. The thickness of the soil deposit is $5$ m and the water table is $1$ m below the soil surface. The bulk and saturated unit weight of the soll is $20k\frac{N}{m^3}.$ Unit weight of water is $9\mathrm{.}81k\frac{N}{m^3}.$ The soll has a friction angle of $28$ degrees. Calculate the slope angle corresponding to the onset of fallure.

$F=\frac{{}_f}{{}_{AB}}=\frac{c^{\text{'}}se{c}^2+\{(1-m){}_b+m{}^{\text{'}}\}ztan{}^{\text{'}}}{\{(1-m){}_b+m{}_{\text{s}\text{a}\text{t}}\}ztan}$