$()$

EAK$163$

$-4-$

$3.$ A traverse is a series of connected lines whose lengths and directions are to be measured and the process of surveying to find such measurements is known as traversing. Traverse is a method in the field of surveying to establish control networks.

$($a$)$ With the aid of sketches, describe the differences between two types of closed traverse. Suggest ONE $(1)$ application of each closed traverse survey.

$[10$ marks$]$

$($b$)$ In a closed traverse survey on stations ABCDE, the data was recorded as in Table $1.$ However, the line DE could not be measured due to some obstacles. Compute the missing length of line DE$.$ Fill in your answer in Form $2$ provided in the Appendix.

$[15$ marks$]$

TABLE $1$

$\backslash$table$[[$Point$,$Line,Bearing,Length $($m$)],[$A$,,,],[,$AB$,{188}^0{28}^{\text{'}}{30}^{\text{'}\text{'}},119\mathrm{.}997],[$B$,,,],[,$BC$,281{40}^{\text{'}}{50}^{\text{'}\text{'}},63\mathrm{.}400],[$C$,,,],[,$CD$,6^0{20}^{\text{'}}{30}^{\text{'}\text{'}},72\mathrm{.}555],[$D$,,,?$