Problem II$.$

A closed polygon ABCD with the following Azimuths and side lengths in feet was given:

$\backslash$table$[[$Course Side,Length $($ft$),$Azimuth$],[$AB$,,442\mathrm{.}720],[$BC$,,238\mathrm{.}12],[$CD$,4{55}^{\text{'}}{21}^{\text{'}},376\mathrm{.}48],[$DA$,,382\mathrm{.}68]]$

Spring $2023$

d$)$ Calculate the unadjusted departures and latitudes.

e$)$ Compute the linear misclosure and relative precision $($traverse precision$).$

f$)$ Adjust the traverse $($i$.$e$.,$ calculate the balanced latitude and balanced departure$)$

g$)$ If the coordinates of point A are $(0\mathrm{.}00,0\mathrm{.}00).$ Determine the coordinates of all other points.

h$)$ Find the length and the bearing of line $CA.$

i$)$ Find the area of the traverse using the coordinate method.

j$)$ Recalculate the area using the double meridian distance method.

Note: Use the table format to report your results.

$\backslash$table$[[\backslash$table$[[$Course$],[$Side$]],$Azimuth,Length,Departure,Latitude,$\backslash$table$[[$Balanced$],[$Departure$]],\backslash$table$[[$Balanced$],[$Latitude$]]],[AB,2455^{\text{'}}{27}^{\text{'}}\text{'},442\mathrm{.}720,,,,],[$BC$,340{13}^{\text{'}}{45}^{\text{'}}\text{'},238\mathrm{.}12,,,,],[$CD$,45{55}^{\text{'}}{21}^{\text{'}\text{'}},376\mathrm{.}48,,,,],[$DA$,144{58}^{\text{'}}{58}^{\text{'}\text{'}},382\mathrm{.}68,,,,],[$Sum$,,,,,]]$