From an instrument set up at point A, the angle of elevation of point B is +16°77' while point C is +7°47'. Furthermore, it was found out that the difference in elevation between points B and C considering the effect of earth's curvature and refraction is 117.873 m. Point A is in between B and C.

From an instrument set up at point A, the angle of elevation of point B is +16°77' while point C is +7°47'. Furthermore, it was found out that the difference in elevation between points B and C considering the effect of earth's curvature and refraction is 117.873 m. Point A is in between B and C.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Control Survey and Geodetic reductions

Control surveys or survey controls are used to establish reference points as a basis for various construction activities. Vertical and horizontal control points are to be established in a control survey to increase accuracy. After establishing the control points, all other types of surveys such as topographic, right-of-way, aerial mapping, construction layout, boundary surveys, and utility mapping can be worked upon so that control networks can be formed. The place from which the observations are made is called a survey station.

Question

From an instrument set up at point A, the angle of elevation of point B is +16°77' while point C is +7°47'.
Furthermore, it was found out that the difference in elevation between points B and C considering the effect of
earth's curvature and refraction is 117.873 m. Point A is in between B and C.
a.
If C is 1957 meters from A. how far is B from A?
b.
If the elevation of point A is 1905.342 m above mean sea level, what is the elevation of B?
с.
What is the elevation of C?

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