Problem I.

Balance the following interior angles $($angles$-$to$-$the$-$right$)$ of a five$-$sided closed polygon traverse. If the azimuth of side $AB$ is fixed at $74{31}^{\text{'}}{17}^{\text{'}}\text{'},$

b$-$ Calculate the azimuths of the remaining sides.

c$-$ Compute departures and latitudes, linear misclosure, and relative precision for the traverse if the lengths of the sides $($in feet$)$ are as follows:

$AB=2157\mathrm{.}34$;$BC=1722\mathrm{.}58$;$CD=1318\mathrm{.}15$;$DE=1536\mathrm{.}06$; and $EA=1785\mathrm{.}58.($Note: Assume units of feet for all distances.$)$

e$-$ Using the compass $($Bowditch$)$ rule, adjust the departures and latitudes of the traverse. If the coordinates of station A are $x=20,000ft$ and $Y=15,000ft,$

i$.$ Calculate Coordinates for the other stations.

ii$.$ Lengths and azimuths of lines $AD$ and $EB.$