GATE CE 2020 Set 1 — Question 48
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Geomatics Engineering → Traversing & Triangulation → Open Traverse
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Question
An open traverse PQRST is surveyed using theodolite and the consecutive coordinates obtained are given in the table
If the independent coordinates (Northing, Easting) of station P are (400 m, 200 m), the independent coordinates (in m) of station T, are
| Line | Northing (m) | Southing (m) | Easting (m) | Westing (m) |
|---|---|---|---|---|
| PQ | 110.2 | - | 45.5 | - |
| QR | 80.6 | - | - | 60.1 |
| RS | - | 90.7 | - | 70.8 |
| ST | - | 105.4 | 55.5 | - |
Correct answer
(C) 394.7, 170.1
Solution
Independent coordinates of a station are calculated by adding the consecutive coordinates (latitude and departure) of the lines to the independent coordinates of the preceding station.Let be Northing and be Easting.
Given station P: m, m.
m
m
m
mAlternatively, sum the latitudes and departures:
m
m m
mThus, the independent coordinates of station T are (394.7, 170.1).
Given station P: m, m.
1.Station Q:
mm
2.Station R:
mm
3.Station S:
mm
4.Station T:
mmAlternatively, sum the latitudes and departures:
m
m m
mThus, the independent coordinates of station T are (394.7, 170.1).
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