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In order to find the difference in elevation between two points P and Q, a level was set upon the line PQ, 30 m from P and 1280 m from Q. The reading obtained on staff kept at P and Q were respectively 0.545 m and 3.920 m. Find the true difference in elevation between P and Q?

In order to find the difference in elevation between two points P and Q, a level was set upon the line PQ, 30 m from P and 1280 m from Q. The reading obtained on staff kept at P and Q were respectively 0.545 m and 3.920 m. Find the true difference in elevation between P and Q? Correct Answer 3.265 m

Since the distance of P from an instrument is small, the correction for curvature etc is negligible. Combined correction for Q is 0.06728 (1.28)2 = 0.110 m. Correct staff reading at Q = 3.920 – 0.110 = 3.810 m. Difference in elevation between P and Q = 3.810 – 0.545 = 3.265 m.

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