Q$1(20$ Pts$).$ The square footing shown in the figure below rests on sand and has a depth of $2\mathrm{.}0m.$ The foundation is required to carry a load of $200kN($column load$+$column weight$)$ inclined at ${25}^0$ to the vertical. The soil has the following shear strength parameters: $c^{\text{'}}=0,{}^{\text{'}}=35.$ Assume that the groundwater table is at a foundation depth. Determine the width of the foundation for a FS of $3.$ The unit weight of the soil is $20k\frac{N}{m^3}.($Use Vesic's bearing capacity equations$).$ Consider $0\mathrm{.}5m$ thickness for foundation in order to calculate foundation weight.