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The length and bearings of a closed traverse PQRSP are given below.
The missing length and bearing, respectively of the line SP are
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- 207 m and 270°
- 707 m and 270°
- 707 m and 180°
- 907 m and 270°
- 207 m and 270°
Correct Option: B
For closed traverse in WCB,
Sum of latitude, ∑L cos θ = 0 and sum of departure ∑L sin θ = 0.
∑L cos θ = 200 cos 0° + 1000 cos 45° + 907 cos 180° + x cos θ = 0
∴ x cos θ = – 0.1068°
∑L sin θ = 0 = 200 sin 0° + 1000 sin 45° + 907 sin 180° + x sin θ = 0
∴ x sin θ = – 707.11
∴ from both equation, θ = 270°
x = 707.1068 m
