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How did they measure the height of mountains in 1910?
Simple geometry and using triangles can tell you the height and location of any point on earth with surveying techniques
Brief history of trigonometry?
Trigonometry was probably developed for use in sailing as a navigation method used with astronomy.[2] The origins of trigonometry can be traced to the civilizations of ancient Egypt, Mesopotamia and the Indus Valley, more than 4000 years ago.[citation needed] The common practice of measuring angles in degrees, minutes and seconds comes from the Babylonian's base sixty system of numeration. The Sulba Sutras written in India, between 800 BC and 500 BC, correctly computes the sine of (=45°) as in a procedure for "circling the square" (i.e., constructing the inscribed circle).[citation needed] The first recorded use of trigonometry came from the Hellenistic mathematician Hipparchus[1] circa 150 BC, who compiled a trigonometric table using the sine for solving triangles. Ptolemy further developed trigonometric calculations circa 100 AD. The ancient Sinhalese in Sri Lanka, when constructing reservoirs in the Anuradhapura kingdom, used trigonometry to calculate the gradient of the water flow. Archeological research also provides evidence of trigonometry used in other unique hydrological structures dating back to 4 BC.[3] The Indian mathematician Aryabhata in 499, gave tables of half chords which are now known as sine tables, along with cosine tables. He used zya for sine, kotizya for cosine, and otkram zya for inverse sine, and also introduced the versine. Another Indian mathematician, Brahmagupta in 628, used an interpolation formula to compute values of sines, up to the second order of the Newton-Stirling interpolation formula. In the 10th century, the Persian mathematician and astronomer Abul Wáfa introduced the tangent function and improved methods of calculating trigonometry tables. He established the angle addition identities, e.g. sin (a + b), and discovered the sine formula for spherical geometry: Also in the late 10th and early 11th centuries, the Egyptian astronomer Ibn Yunus performed many careful trigonometric calculations and demonstrated the formula . Indian mathematicians were the pioneers of variable computations algebra for use in astronomical calculations along with trigonometry. Lagadha (circa 1350-1200 BC) is the first person thought to have used geometry and trigonometry for astronomy, in his Vedanga Jyotisha. Persian mathematician Omar Khayyám (1048-1131) combined trigonometry and approximation theory to provide methods of solving algebraic equations by geometrical means. Khayyam solved the cubic equation x3 + 200x = 20x2 + 2000 and found a positive root of this cubic by considering the intersection of a rectangular hyperbola and a circle. An approximate numerical solution was then found by interpolation in trigonometric tables. Detailed methods for constructing a table of sines for any angle were given by the Indian mathematician Bhaskara in 1150, along with some sine and cosine formulae. Bhaskara also developed spherical trigonometry. The 13th century Persian mathematician Nasir al-Din Tusi, along with Bhaskara, was probably the first to treat trigonometry as a distinct mathematical discipline. Nasir al-Din Tusi in his Treatise on the Quadrilateral was the first to list the six distinct cases of a right angled triangle in spherical trigonometry. In the 14th century, Persian mathematician al-Kashi and Timurid mathematician Ulugh Beg (grandson of Timur) produced tables of trigonometric functions as part of their studies of astronomy. The mathematician Bartholemaeus Pitiscus published an influential work on trigonometry in 1595 which may have coined the word "trigonometry".
How do you understand trigonometry?
It is simple the study of triangles: the properties of their sides and angles. This is then extended to other, more complicated polygons and polyhedra, but the basis is still the triangle.
The southernmost point of the Indian union is?
Indira Point
How you would measure the height of any object that is to tall for you to touch the top using only your body or part thereof and trigonometry?
Actually, you don't even need to know your height. All you need to do is:1. pick any arbitrary point that is somewhat close the the object. preferably about as far away as the object is tall.2. measure the distance between the point you picked and the base of the object.3. use a protractor to measure the angle from the point you picked. The angle should be between the ground and the hypotenuse of your make believe triangle.4. Then, all you have to do is the math. Knowing your height, you could measure the lengths of your shadow and the object's shadow then use proportions to solve for the height of the object:h = your heights = length of your shadowH = object's heightS = object's shadow h/s = H/SSh/s = H
What are the angles in trigonometry?
Angles in trigonometry are the same as any other angles. They are a measure of the separation between two lines which meet at a point.
Is tangent in geometry and tangent in trigonometry same?
Yes a tangent is a straight line thattouches a curve at only one point But there is a tangent ratio used in trigonometry
How do you figure out the bearing point in trigonometry in math?
You find the angle with a fixed direction using trigonometry. You then convert it to an angle measured in degrees, clockwise from North, and written as a three digit number.
What are the 2 branches of trigonometry?
plane trigonometry spherical trigonometry
What is angles in trigonometry?
An angle comprises two straight line segments or rays together with the point at which they meet.
What are the kinds of trigonometry?
The main kinds are plane trigonometry and solid trigonometry. The latter will include trigonometry in hyper-spaces.
Who is the father of trigonometry?
Hipparchus is the father of trigonometry.
What is the abbreviation or full form of trigonometry?
TRIGONOMETRY
What is .8660 in trigonometry?
It is a number - in trigonometry or elsewhere.
How is trigonometry applied?
Trigonometry is applied in construction and building, as trigonometry measures right angled triangles.
What is the definition of plane trigonometry?
Plane trigonometry is trigonometry carried out in (on) a plane. This could be contrasted with spherical trigonometry, which is trigonometry carried out on the surface of a sphere. Certainly there are some other more complex forms of trig.
What are the two types of trigonometry?
Trigonometry based on a unit circle and radians and trigonometry based on a right triangle.
