A five$-$sided closed traverse is set up such that $A,B,C,D,E$ are consecutive corners measured in the counter$-$clockwise direction. Side $AB$ has an established azimuth of $300{00}^{\text{'}},$ and the following angles and distances were recorded:

$A=38{30}^{\text{'}},AB=371\mathrm{.}006m$

$B=100{38}^{\text{'}},BC=110\mathrm{.}222m$

$C=149{50}^{\text{'}},CD=139\mathrm{.}872m$

$D=85{59}^{\text{'}},DE=103\mathrm{.}119m$

$E=165{03}^{\text{'}},EA=319\mathrm{.}860m$

a $(1$ pt$)$ Draw a sketch of the traverse with reasonably approximated angles and distances. Label each angle with the appropriate letter.

b$.(1$ pt$)$ Perform a check for angular closure.

$2.)(2$ pts$)$ Compute both bearings and azimuths for each course of the traverse.

$.(2$ pts$)$ Compute the latitudes and departures for each course of the traverse.

e$.(1$ pts$)$ Compute the linear error of closure and the precision ratio.

f$.(2$ pts$)$ Use the compass rule to balance the latitudes and departures.

g$.(2$ pts$)$ Compute the coordinates of A$,$ C$,$ D$,$ and E if B has coordinates of $1,000\mathrm{.}000mN$ and $1,000\mathrm{.}000$ m E$.$

h$.(4$ pts$)$ If a total station were placed at coordinate $915\mathrm{.}321$ m N and $1130\mathrm{.}050$ m E $,$ compute the angles $($for example, angle $AB)$ and distances $($for example, distance to $A)$ it should record as it checks the traverse described above.

i$.(2$ pts$)$: Compute the area $($in hectares$)$ enclosed by the traverse.