$8\mathrm{.}16.$ See Figure $8\mathrm{.}24.$ The five$-$sided, closed traverse has the following angles and distances:

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

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

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

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

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

Side $AB$ has an azimuth of $300{00}^{\text{'}}.$

a$.$ Perform a check for angular closure.

b$.$ Compute both bearings and azimuths for all sides.

$218$ CHAPTER EIGHT

FIGURE $8\mathrm{.}24$ Sketch for Problem $8\mathrm{.}16.$

c$.$ Compute the latitudes and departures.

d$.$ Compute the linear error of closure and the precision ratio.

$8\mathrm{.}17.$ Using the data from Problem $8\mathrm{.}16$ and the compass rule, balance the latitudes and departures.

$8\mathrm{.}18.$ Using the data from Problem $8\mathrm{.}17,$ compute the coordinates of stations C$,$ D$,$ E$,$ and A$.$ Assume that the coordinates of station B are $1,000\mathrm{.}000mN$ and $1,000\mathrm{.}000mE.$

$8\mathrm{.}19.$ Using the data from Problem $8\mathrm{.}18,$ compute the area $($in hectares$)$ enclosed by the traverse.