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Successive plus and minus sights taken on a Part A downhill line of levels are listed below. The values represent the horizontal distances, in feet, between the instrument and either the plus or minus sights. 22,235;50,165;43,135;34,240.

What combined error results from curvature and refraction?Express your answer in feet to three significant figures.

1 Answer

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The combined error from curvature and refraction is -0.215 feet.

The combined error from curvature and refraction is calculated as follows:

Ehm = (d1^2 - d2^2) / 2R

where:

Ehm is the error in feet

d1 is the horizontal distance to the plus sight in feet

d2 is the horizontal distance to the minus sight in feet

R is the radius of the Earth in feet

Using the values given in the problem, we can calculate the error as follows:

Ehm = (22,235^2 - 50,165^2) / 2 * 20,903,230.55

Ehm = -0.215 feet

The combined error from curvature and refraction is -0.215 feet, or -0.215 feet to three significant figures.

Successive plus and minus sights taken on a Part A downhill line of levels are listed-example-1
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