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The bearings of two inaccessible stations, $S_1$ (Easting $500$ m, Northing $500$ m) and $S_2$ (Easting $600$ m, Northing $450$ m) from a station $S_3$ were observed as $225^{\circ}$ and $153^{\circ}\: 26’$ respectively. The independent Easting (in m) of station $S_3$ is:

  1. $450.000$
  2. $570.710$
  3. $550.000$
  4. $650.000$
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