Q$40$

$[$Please show full workings for this question$]$

A loop traverse has been observed to coordinate points $B,C$ and $D$ for use as survey control for a topographic mapping project. The coordinates of the known point $($A$)$ at which the traverse starts and ends are $(3521\mathrm{.}938mE,4285\mathrm{.}111mN),$ and the bearing from $A$ to a reference object $RO$ is $22939\text{'}43".$ The abstracted mean horizontal clockwise angles observed are listed in the table below, together with the mean horizontal distances.

Horizontal clockwise angle

AT$-$FROM$-$TO

A$-$RO$-$B

B$-$A$-$C

C$-$B$-$D

D$-$C$-$A

A$-$D$-$RO

Value

$231{34}^{\text{'}}{42}^{\text{'}\text{'}}$

$105{30}^{\text{'}}{19}^{\text{'}\text{'}}$

$082{11}^{\text{'}}{51}^{\text{'}\text{'}}$

$092{48}^{\text{'}}{35}^{\text{'}\text{'}}$

$207{54}^{\text{'}}{01}^{\text{'}\text{'}}$

What are the bearings of traverse legs $A$ to $B,B$ to $C,C$ to $D$ and $D$ to $A?$

Bearing $AB$

Enter an angle in minutes, degrees and seconds, with components separated by spaces

Horizontal distance

FROM$-$TO

$A-B325\mathrm{.}822$

B$-$C $261\mathrm{.}825$

C$-$D $343\mathrm{.}528$

D$-$A $303\mathrm{.}401$

Questions

$$What are the bearings of traverse legs A to B$,$ B to C$,$ C to D and D to A$?$

$$ What is the bearing misclosure of the traverse?

$$ What are the unadjusted Easting and Northing of stations B$,$C and D$?$

$$ What is the total positional misclosure of the traverse?

$$ What is the proportional misclosure of the traverse?