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Traversing survey involves measuring distances and angles between survey points to establish control networks, typically using linear measurements and compass or theodolite readings. Triangulation survey, on the other hand, relies on the principle of triangulation to determine the positions of points by measuring the angles of a triangle formed by sighting distant landmarks. Triangulation surveys are more accurate over long distances and are commonly used in geodetic surveys, while traversing surveys are more suitable for smaller-scale projects and local mapping.
Any time you measure distance using triangulation or utilise angles in theorems.
Many police diagrams are created and recorded using triangulation or base line mapping. Both require geometry.
The distance of an earthquake epicenter from a seismic station. Using the Three point method, the distance from 3 seismic stations are used to locate the epicenter by triangulation.
Principally in surveying by triangulation: you divide the countryside into imaginary adjacent triangles, each lying on a plane in three-dimensions (E-W, N-S and altitude) between defined points on the ground, so a lot of advanced trigonometry is necessary to calculate the co-ordinates of the triangles' apices. Nowadays large-areas maps are generated from satellite images but triangulation is still necessary for small-scale work such as in building and civil-engineering detail mapping and setting-out.