How Does Gps Rely on Geometry and Trigonometry Now That There Are Satellites? Has the Function of Geometry and Trigonometry in Triangulation and Navigation Changed Since Satellites Were Built?

3538 Words Aug 18th, 2013 15 Pages
Area: Mathematics Topic: GPS

Research Question: How does GPS rely on geometry and trigonometry now that there are satellites? Has the function of geometry and trigonometry in triangulation and navigation changed since satellites were built?

IB MATH Candidtate name: Tristan Stevenson Candidate Number: dwq773 (001366 – 016) School: Prem tinsulalonda International School November 14, 12 Word Count:2090

Abstract: This essay examines the question: How does GPS rely on geometry and trigonometry now that there are satellites? Has the function of geometry and trigonometry in triangulation and navigation changed since satellites were
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Trigonometry is a branch of mathematics that studies the relationship between sides and angles of triangles. Similarly to geometry, trigonometry has many sub-specific topics. For the purposes of this paper two-dimensional and three-dimensional trigonometry will be analyzed.

Triangulation and trilateration are two ways of determining a location using angles and distances. In trigonometry and geometry triangulation is the process of determining a point by using angles, rather than measuring distances to the point directly, which is known as trilateration. While in geometry trilateration is the process of determining locations by the measurement of distances.

Navigation is the art or process of plotting, ascertaining, or directing the course (including distances and spatial relationships) of a ship, aircraft, or missile [3]. There are many different modern types of navigation such as dead reckoning, pilotage, celestial, radio, radar, and satellite navigation. The most commonly used navigation today is satellite navigation. The global positioning system (GPS) quickly and accurately tells a person where they are exactly. Giving the address as well as the longitude and latitude points. [4].

Before Satellites Trigonometry was used in mapping and navigating the ocean before satellites were built. By using navigational instruments that were being developed with technology

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