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If the horizontal distance between a staff point and the point of observation is d, the error due to the curvature of earth is proportional to

1. d
2. 1/d
3. d²
4. 1/d²

Correct answer: d²

Solution

The error due to the curvature of the Earth increases with the square of the distance because the curvature affects the line of sight more significantly as the distance increases, leading to a quadratic relationship.

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