Question $(3)[33\%]$

A$.$ During the construction of one of the New Ministry building at New Capital city, A traverse T$2-$A$-$B$-$T$3-$T$2$ was carried out with the following measurements:$-$

Traverse sides: $T2-A=143\mathrm{.}500m,A-B=225\mathrm{.}962m,B-T3=129\mathrm{.}497m,$ and $T3-T2=338\mathrm{.}978m.,$ Interior angles: $T2=60{03}^{\text{'}}0x{x}^{\text{'}\text{'}},A=119{32}^{\text{'}}{12}^{\text{'}\text{'}},B=109{00}^{\text{'}}{04}^{\text{'}\text{'}},$ and

$T3=71{24}^{\text{'}}{16}^{\text{'}}.$ The traverse was linked to existing side T$1-$T$2,$ with horizontal angle T$1-$T$2-$T$3(\{$:$58{02}^{\text{'}}{32}^{\text{'}\text{'}}).$ The coordinates of T$1$ and T$2$ are $(6558\mathrm{.}3$YYmE,$1541\mathrm{.}232mN)$

& $(6595\mathrm{.}787mE,1366\mathrm{.}103mN)$ respectively. Find the angular, linear, relative closing errors also find the adjusted coordinates of points A$,$ B and T$3($ standard deviation of observed angles

$10\text{'}).(25\%)$

$xx=$ Last digit from your AUC$-$ID $($e$.$g$.,$ ID $900172567xx=7$&$T2=60{03}^{\text{'}}{07}^{\text{'}\text{'}})$

YY$=$Last two digits from your AUC$-$ID $($e$.$g$.,$ ID $900172567YY=67$& Easting of T$1=6558\mathrm{.}367)$

B$.$ In the above Traverse If point T$3$ was one of the existing control points with coordinates $(6839\mathrm{.}524$ m E$,$

$1601\mathrm{.}683$ m N$),$ Readjust traverse and find the corrected coordinates for A &B$.(8\%)$