Extensively finding out how far away something is from something else --------
Trigonometry is used extensively in calculations involving Cartesian coordinates. Cartesian coordinates can be used to represent a map with North, South, East and West directions. For example, vectors, or directions can be expressed using trigonometry. Let's say you want to find a location that is three miles east of one known location that is one mile south of where you are right now. How far is your destination from where you are now? Trigonometry not only tells you the answer, it can tell you what direction to take with a compass to get there on a straight line. Your destination is sqrt(10) miles away, at a heading of tan(3) degrees east of due south or cot(3) degrees south of due east. Trig can also be used to calculate the distance an object is if you know what height it is, or you can calculate the height of an object if you know how far it is and have a tool to make line-of-sight measurements of angles, such as a sextant.
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Trigonometry is used in geography to calculate distances, heights, and angles. It helps in measuring the elevation of mountains, the depth of ocean trenches, and the width of rivers. Trigonometric functions such as sine, cosine, and tangent are essential for mapping and navigation.
trigonometry can be used in many different fields. In geography, it can be useful for determining distances between locations, or heights of things like mountains and plateaus, as well as many other applications.
Trilateration:
This is one of the methods used to calculate the position of the receiver.
The satelite broadcasts the time (very accurately), ephemeris and almanac - the receiver uses this (with what it "knows" about the speed of light and the dippler affect) to calculate a distance to the satelite (and other satrelites it hears from).
Then trilateration is used to locate the position given all this data.
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Ptolemy's major contribution to trigonometry was his work on chords in a circle, which led to the development of the trigonometric functions sine, cosine, and tangent. He compiled a table of chords that facilitated trigonometric calculations and navigational measurements. Ptolemy's work influenced the development of trigonometry in the medieval Islamic world and later in Europe.
Oceanographers use trigonometry to calculate the depth of the ocean floor using sonar data. By measuring angles and distances, they can create detailed maps of the ocean bottom. Trigonometry is also used to analyze wave patterns, currents, and tides in the ocean.
Some geography terms that are used to refer to earth are altitude, degree, hemisphere, reef, and equator.
The science that describes the earth's physical and cultural features is geography. Geography tells about the people of a country, their culture, and the general appearance of the land in that country.