![]() The triangle formed by x, R + δ, and R is a right triangle, which means that the Pythagorean theorem can be used to produce an exact solution. Analysisįigure 1 illustrates the situation and contains the derivation of both an exact and a approximate solution. ![]() For consistency's sake, I will perform all computations in US customary units. How much does the Earth's surface deviate from a horizontal line over a distance of 100 feet? The contractor's number intuitively seemed wrong because the Earth is round and the deviation from horizontal should be a function of distance. The statement about the curvature of Earth got me thinking. The Earth's curvature will swamp out your instrument error in less than 100 feet. Who cares if the laser level is accurate within an 1/16th of inch at 100 feet? The Earth curves away from a horizontal line by 1/8th of inch for every 100 feet of horizontal distance. ![]() Today, during a discussion of laser levels, the topic of required accuracy came up. I frequently hear people make statements that somehow do not seem right. Hiding the base of the buildings on the far
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