Q$2-$

a$)$ A horizontal angle was measured from station $S$ sighting points A and $B$ in both direct and revers mode, Find the final angle.

$\backslash$table$[[$Point$,$Face left $($DIR$),$Face right $($REV$),$Difference,Mean,Final angle$],[$A$,0{00}^{\text{'}}{00}^{\text{'}\text{'}},179{59}^{\text{'}}{54}^{\text{'}\text{'}},,,],[$B$,127{57}^{\text{'}}{14}^{\text{'}\text{'}},307{57}^{\text{'}}{21}^{\text{'}\text{'}},,,]]$

b$)$ A vertical Zenith angle was measured from station $S$ sighting points A and $B$ in direct and reverse mode, find the final angle, and the level of both points assuming horizontal distance $SA=SB=10m$

$\backslash$table$[[$Point$,$Face left $($DIR$),$Face right $($REV$),\backslash$table$[[$Reduced face$],[$left$]],\backslash$table$[[$Reduced face$],[$right$]],$Final angle$],[$A$,102{12}^{\text{'}}{45}^{\text{'}\text{'}},257{47}^{\text{'}}{21}^{\text{'}\text{'}},,,],[$B$,89{34}^{\text{'}}{50}^{\text{'}\text{'}},270{27}^{\text{'}}{30}^{\text{'}\text{'}},,,]]$

$(20$ points$)$