Using the following legend, draw:

Control point

Measured angle

Traverse station

Measured distance

a$.2$ variations of a closed traverse

b$.$ Open traverse

c$.$ Radial traverse

Interior angles of a closed polygon $=(n-2)180$

Exterior angles of a closed polygon $=(n+2)180$

$2.$ What is the angular misclosure of a six$-$sided closed polygon traverse with observed angles of:

$98{10}^{\text{'}}{10}^{\text{'}\text{'}}$

$133{45}^{\text{'}}{58}^{\text{'}\text{'}}$

$68{23}^{\text{'}}{10}^{\text{'}\text{'}}$

$182{50}^{\text{'}}{54}^{\text{'}\text{'}}$

$134{32}^{\text{'}}{02}^{\text{'}\text{'}}$

$102{17}^{\text{'}}{36}^{\text{'}\text{'}}$

If the standard deviation for each measurement of a traverse angle is $+-{3\mathrm{.}3}^{\text{'}\text{'}},$ then what is the expected standard deviation of the misclosure of an $8-$sided traverse?

If the angles of a traverse are turned so that the standard deviation of any angle is $+-3\mathrm{.}5",$ what is the $95\%$ error of a $12$ sided traverse?

Allowable misclosure

$c=K\sqrt[\phantom{2}]{n}$

$c=$ allowable misclosure

$K=$ constant

FGCS $($Federal Geodetic Control Subcommittee$)$

First Order $=1\mathrm{.}7"$

Second Order, Class I $=3"$

Second Order, Class II $=4\mathrm{.}5"$

Third Order, Class I $=10"$

Third Order, Class II $=12"$

$n=$ number of angles

If I misclosed my $20$ sided traverse by a $+{16}^{\text{'}\text{'}},$ what order of survey did I complete?