An elevation must be established on a benchmark on an island that is 2536.98 ft from the nearest benchmark on the island’s shore. The surveyor decides to use a total station that has a stated distance measuring accuracy of (3 mm +3 ppm) and a vertical compensator accurate to within 0.4”. The height of instrument was 5.37 ft with an estimated error of 0.05 ft. The prism height was 6.00 ft with an estimated error of 0.02 ft. The single zenith angle is read as  The estimated errors in instrument and target centering are 0.003 ft. If the elevation of the occupied benchmark is 632.27 ft, what is the corrected benchmark elevation on the island? (Assume that the instrument does not correct for Earth curvature and refraction.) After completing the job, the surveyor discovered that the instrument had a vertical indexing error that caused the sight line to be inclined by 15. (a) How much error would be created in the elevation of the island benchmark if the indexing error were ignored? (b) What is the corrected elevation?

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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An elevation must be established on a benchmark on an island that is 2536.98 ft from the nearest benchmark on the island’s shore. The surveyor decides to use a total station that has a stated distance measuring accuracy of (3 mm +3 ppm) and a vertical compensator accurate to within 0.4”. The height of instrument was 5.37 ft with an estimated error of 0.05 ft. The prism height was 6.00 ft with an estimated error of 0.02 ft. The single zenith angle is read as  The estimated errors in instrument and target centering are 0.003 ft. If the elevation of the occupied benchmark is 632.27 ft, what is the corrected benchmark elevation on the island? (Assume that the instrument does not correct for Earth curvature and refraction.)

After completing the job, the surveyor discovered that the instrument had a vertical indexing error that caused the sight line to be inclined by 15. (a) How much error would be created in the elevation of the island benchmark if the indexing error were ignored? (b) What is the corrected elevation?

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