The bearings of two inaccessible stations, $S_{1}$ (Easting $500 \mathrm{~m}$. Northing $500 \mathrm{~m}$ ) and $S_{2}$ (Easting 600 $\mathrm{m}$. Northing $450 \mathrm{~m}$ ) from a station $S_{3}$ were observed as $225^{\circ}$ and $153^{\circ} 26^{\prime}$ respectively. The independent Easting (in $\mathrm{m}$ ) of station $S_{3}$ is:

(A) 450.000

(B) 570.710

(C) 550.000

(D) 650.000

The bearings of two inaccessible stations, $S_{1}$ (Easting $500 \mathrm{~m}$. Northing $500 \mathrm{~m}$ ) and $S_{2}$ (Easting 600 $\mathrm{m}$. Northing $450 \mathrm{~m}$ ) from a station $S_{3}$ were observed as $225^{\circ}$ and $153^{\circ} 26^{\prime}$ respectively. The independent Easting (in $\mathrm{m}$ ) of station $S_{3}$ is:

(A) 450.000

(B) 570.710

(C) 550.000

(D) 650.000

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