The angular misclosure of the closed-loop traverse shown in the figure is _____________ ° (Answer in decimal degrees and rounded off to three decimal places)
Step 1: Concept
For a closed traverse with $n$ sides, the theoretical sum of interior angles is:
$ (n-2)\times 180^\circ $
Here, number of sides $n = 6$
So, theoretical sum:
$ (6-2)\times 180 = 720^\circ $
Step 2: Given angles
$66^\circ 40' 30''$
$132^\circ 45' 30''$
$227^\circ 26' 15''$
$64^\circ 00' 00''$
$97^\circ 35' 45''$
$131^\circ 35' 00''$
Step 3: Convert to decimal degrees
$66^\circ 40' 30'' = 66 + \frac{40}{60} + \frac{30}{3600} = 66.675^\circ$
$132^\circ 45' 30'' = 132.758^\circ$
$227^\circ 26' 15'' = 227.438^\circ$
$64^\circ 00' 00'' = 64.000^\circ$
$97^\circ 35' 45'' = 97.596^\circ$
$131^\circ 35' 00'' = 131.583^\circ$
Step 4: Sum of given angles
Total =
$66.675 + 132.758 + 227.438 + 64 + 97.596 + 131.583 = 720.050^\circ$
Step 5: Angular misclosure
$ \text{Misclosure} = |\text{Observed} - \text{Theoretical}| $
$ = |720.050 - 720| = 0.050^\circ $
Final Answer:
$\boxed{0.050^\circ}$
Important Questions from Traversing
- The forebearing of four sides of a closed quadrilateral ABCDA are
AB = 60°, BC = 149.87°, CD = 269.5°, DA = 20.17°.
The calculated value of interior angle D is _____° (Answer in decimal degrees and rounded off to two decimal values). - It is needed to establish the coordinates of a station A. Two stations B and C are available whose coordinates are given in the table.
Length of line CA = 1212.38 m; ∠BCA = 64°.
The Easting of station A is _______ m (Rounded off to two decimal places).
Assume station A lies to the west of the traverse line BC.Station Easting (m) Northing (m) B 11054.09 9484.37 C 10827.62 10112.15 - If the departure and latitude of a line are 70 m and -130 m, respectively, then the whole circle bearing of the line in degrees is
While carrying out a traverse survey ABCDA' using a theodolite with the originating station A, the departures and latitudes of the lines, as obtained, are shown in the following figure (not drawn to scale). It is seen that, due to the observational errors, the originating station A and its computed station A' are not the same. For this survey, the 'closing error' in m is
Figure below shows an open traverse PQRS, where P is the starting point of traverse and S is the end point of traverse. Which one of the following is correct?
