Question $6$: $|7|$ marks$]$

Khalid owns a land enclosed by a five$-$sided closed$-$polygon traverse. The information of the traverse is shown in the table below $($All dimensions are in $ft).$ For this land perform the following $($show detailed calculations$)$:

Using the compass $($Bowditch$)$ rule, adjust the departures and latitudes of the Travers and write the results in the table below.

If the coordinates of station A are $x=310,500ft$ and $Y=121,500ft,$ calculate the coordinates for all stations and write the results in the table below.

Calculate the length $($balanced$)$ in $ft$ of line $AB.$

Calculate the Azimuth $($balanced$)$ of line $AB.$

Calculate the area of the traverse in $f{t}^2$ by the method of coordinates.

$\backslash$table$[[$Course$,$Length,$\backslash$table$[[$Departu$],[$re$]],$Latitude,$\backslash$table$[[$Balanced$],[$Departure$]],\backslash$table$[[$Balanced$],[$Latitude$]],\backslash$table$[[$Poin$],[$t$]],x,$Y$],[$AB$,223\mathrm{.}001,-85\mathrm{.}936,-205\mathrm{.}778,,$A$,310,500,121,500,],[$BC$,168\mathrm{.}82,131\mathrm{.}390,-106\mathrm{.}004,,$B$,,,],[$CD$,182\mathrm{.}342,146\mathrm{.}661,108\mathrm{.}347,,$C$,,,],[$DF$,229\mathrm{.}03,14\mathrm{.}262,228\mathrm{.}586,,$D$,,,],[$FA$,207\mathrm{.}95,-206\mathrm{.}400,-25\mathrm{.}343,,,,,],[,,,,,,,,]]$