Many ways in designing the project, such as solving the structure's force-polygons and calculating component dimensions. Surveying for design, site setting-out and quality-control.
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Trigonometry is used in everyday life in various ways. It is used in navigation to calculate distances and angles, in architecture and engineering to design structures and determine angles for construction, and in physics and mechanical engineering to analyze forces and motion. Trigonometry is also used in fields such as astronomy, music, and electrical circuits.
The purpose of trigonometry is to gather as much accurate measurements of distances given little information about angles or other distances. It is used in engineering, astronomy, city planning, drafting and designing, and construction.
Spherical trigonometry is important because the Earth is a sphere, not a plane, so if you wanted to get the distance between one point on Earth and another, plane trigonometry wouldn't give you the right answer. Plane trigonometry can be used to find the height of something without having to climb it, such as a flagpole or skyscraper. Trigonometry, whether spherical or planar, is used in engineering to design buildings, cars, ships, and planes. It is used in physics to calculate the properties of electric and magnetic fields. It is used in navigation, and projectile motion. It is also used in the design of musical chords and instruments, as well as lenses and optics.
It is certainly used in calculus, just as calculus can be used in trigonometry.
Surveying is all trig. Much trig in physics and engineering,