$6\mathrm{.}166\mathrm{.}15,$

$6\mathrm{.}17$ See Figure $6-25.$ A total station was set up at control station $K$ that is within the limits of a five$-$sided property. Coordinates of control station $K$ are $1,990\mathrm{.}000$ N$,2,033\mathrm{.}000$ E$.$

FIGURE $6-25$ Sketch for Problem $6\mathrm{.}13$ Azimuth angles and distances to the five property corners were determined as follows:

$\backslash$table$[[$Direction$,$Azimuth,$\backslash$table$[[$Horizontal$],[$Distance $($m$)]]],[KA,286{51}^{\text{'}}{00}^{\text{'}\text{'}},34\mathrm{.}482],[KB,37{35}^{\text{'}}{28}^{\text{'}\text{'}},31\mathrm{.}892],[KC,90{27}^{\text{'}}{56}^{\text{'}\text{'}},38\mathrm{.}286],[KD,166{26}^{\text{'}}{49}^{\text{'}\text{'}},30\mathrm{.}916],[KE,247{28}^{\text{'}}{43}^{\text{'}\text{'}},32\mathrm{.}585]]$

Compute the coordinates of the property corners $A,B,C,D,$ and $E.$

Using the data from Problem $6\mathrm{.}17,$ compute the area of the property.

Using the data from Problem $6\mathrm{.}17,$ compute the bearings and distances of the five sides of the property.