Multiple choice

The length and bearings of a closed traverse PQRSP are given below |||| |---|---|---| | Line| Length (m)| Bearing (WCB)| | PQ| 200| 0o| | QR| 1000| 45o| | RS| 907| 180o| | SP| ?| ?|

The missing length and bearing, respectively of the line SP are

  1. 207 m and 270o

  2. 707 m and 270o

  3. 707 m and 180o

  4. 907 m and 270o
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Summing the latitudes and departures of the closed traverse: PQ (200, 0), QR (1000*cos45, 1000*sin45) = (707.1, 707.1), RS (907*cos180, 907*sin180) = (-907, 0). Sum of latitudes = 200 + 707.1 - 907 = 0.1. Sum of departures = 0 + 707.1 + 0 = 707.1. To close, SP must have latitude -0.1 and departure -707.1. This corresponds to a length of 707 m and bearing of 270 degrees.

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