An elevation must be established on a benchmark on an island that is 520.02 ft from the nearest benchmark on the lake's shore. The surveyor lecides to use a total station that has a stated distance measuring ccuracy of +(3 mm + 3 ppm) and a vertical compensator accurate to vithin +0.4". The height of the instrument was 5.26 ft with an estimated error of +0.1 ft. The prism height was 6.00 ft with an estimated error of +0.01 ft. The single zenith angle is read as 96°07'34". The estimated errors in instrument and target centering are +0.003 ft. If the elevation

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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An elevation must be established on a benchmark on an island that is
520.02 ft from the nearest benchmark on the lake'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 the instrument was 5.26 ft with an estimated
error of +0.1 ft. The prism height was 6.00 ft with an estimated error
of ±0.01 ft. The single zenith angle is read as 96°07'34". The estimated
errors in instrument and target centering are +0.003 ft. If the elevation
of the occupied benchmark is 85.57 ft, what is the corrected benchmark
elevation on the island? (Assume that the instrument does not correct
for Earth curvature and refraction.)
Transcribed Image Text:An elevation must be established on a benchmark on an island that is 520.02 ft from the nearest benchmark on the lake'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 the instrument was 5.26 ft with an estimated error of +0.1 ft. The prism height was 6.00 ft with an estimated error of ±0.01 ft. The single zenith angle is read as 96°07'34". The estimated errors in instrument and target centering are +0.003 ft. If the elevation of the occupied benchmark is 85.57 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 in Problem 9.13, the surveyor discovered that
the instrument had a vertical indexing error that caused the sight line to
be inclined by 10".
(a) How much error would be created in the elevation of the island bench-
mark if the indexing error were ignored?
(b) What is the corrected elevation?
Transcribed Image Text:After completing the job in Problem 9.13, the surveyor discovered that the instrument had a vertical indexing error that caused the sight line to be inclined by 10". (a) How much error would be created in the elevation of the island bench- mark if the indexing error were ignored? (b) What is the corrected elevation?
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