Problem 3 X is a point having an elevation of 756.32 m above the datum. Point Y and Z are of unknown elevation, where at point Y an instrument is set up. Point Y is in between points X and Z. the vertical angle observed towards X is to be 25°26' and that of Z is -16°17'. The horizontal distance between X and Z is 2056.48 m and that of Y and Z is 1209.87 m. The height of instrument is 1.5 m above Y. Considering the effect of curvature and refraction, determine the following: a. Difference in elevation between X and Y in m. b. Difference in elevation between X and Z in m. c. Elevation of Y in m. d. Elevation of Z in m.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Problem 3
X is a point having an elevation of 756.32 m above the datum. Point Y and Z are of unknown elevation,
where at point Y an instrument is set up. Point Y is in between points X and Z. the vertical angle
observed towards X is to be 25°26' and that of Z is -16°17'. The horizontal distance between X and Z is
2056.48 m and that of Y and Z is 1209.87 m. The height of instrument is 1.5 m above Y. Considering
the effect of curvature and refraction, determine the following:
a. Difference in elevation between X and Y in m.
b. Difference in elevation between X and Z in m.
c. Elevation of Y in m.
d. Elevation of Z in m.
Transcribed Image Text:Problem 3 X is a point having an elevation of 756.32 m above the datum. Point Y and Z are of unknown elevation, where at point Y an instrument is set up. Point Y is in between points X and Z. the vertical angle observed towards X is to be 25°26' and that of Z is -16°17'. The horizontal distance between X and Z is 2056.48 m and that of Y and Z is 1209.87 m. The height of instrument is 1.5 m above Y. Considering the effect of curvature and refraction, determine the following: a. Difference in elevation between X and Y in m. b. Difference in elevation between X and Z in m. c. Elevation of Y in m. d. Elevation of Z in m.
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