Multiple choice

The observations from a closed loop traverse around an obstacle are as follows

Segment Observation from station Length (m) Azimuth (clockwise from magnetic north)
PQ P Missing 33.7500o
QR Q 300.000 86.3847o
RS R 354.524 169.3819o
ST S 450.000 243.9003o
TP T 268.000 317.5000o

What is the value of the missing measurement (rounded off to the nearest 10 mm)?

  1. 396.86 m

  2. 396.79 m

  3. 396.05 m

  4. 396.94 m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For a closed traverse, the sum of latitudes and departures must be zero. By calculating the latitude (L = length * cos(azimuth)) and departure (D = length * sin(azimuth)) for each segment, one can solve for the missing length of PQ by setting the sum of all latitudes and departures to zero.

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