$2.$ Application Problems:

a$.$ A project is to be constructed to connect Cairo$-$districts however; actual lengths need to be measured for several known points that seem to control the road's boundaries. The points formed a traverse with different lengths and internal angles.

Calculate the distances SO and $\backslash (\backslash$mathbf$\{$S P$\}\backslash )$ between the three points using the spherical triangle method.

a$.$ Compute the accuracy between points $\backslash (\backslash$mathbf$\{$S$\}\backslash )$ and $\backslash (\backslash$mathbf$\{$P$\}\backslash )$ in the above network where the required order of the network is First$-$order assuming the observation points are tripod center.