Question $6$: Field work $[100$marks$]$

Three wells A$,$ B and C tap from the same unconfined aquifer. The distances $AB=1200m,$ and $BC=1000m.$ The well $B$ is exactly south of well A and well $C$ lies to the west of well $B.$ The following are the ground surface elevation and the depth of water below the ground surface in the three wells

$\backslash$table$[[$Well$,\backslash$table$[[$Surface Elevation above datum$],[($m$)]],\backslash$table$[[$Depth of water table$],[($m$)]]],[$A$,200,11],[$B$,197,7],[$C$,202,14]]$

a$)$ Sketch the relative position of the wells

b$)$ Determine the direction of groundwater flow and the hydraulic gradient in the direction of flow $($Consider homogeneous and isotropic condition$)$