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 sur- veyor 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 87°05'32". 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 bench- mark elevation on the island? (Assume that the instrument does not correct for Earth curvature and refraction.)
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 sur- veyor 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 87°05'32". 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 bench- mark elevation on the island? (Assume that the instrument does not correct for Earth curvature and refraction.)
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Transcribed Image Text: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 sur-
veyor 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 87°05'32". 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 bench-
mark elevation on the island? (Assume that the instrument does not
correct for Earth curvature and refraction.)
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