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Geometry and measures – Pick and mix revision cards
Geometry and measures – Pick and mix revision cards

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... favorite tree. The angle of elevation from the man's present position to the top of a nearby telephone pole is 30º. The angle of elevation from the tree to the top of the telephone pole is 45º. If the telephone pole is 40 feet tall, how far is the man with the dog from the tree? Express answer to th ...
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Geometry, 9.9: Intro to Trigonometry (Sine, Cosine, Tangent)

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Rational trigonometry

Rational trigonometry is a proposed reformulation of metrical planar and solid geometries (which includes trigonometry) by Canadian mathematician Norman J. Wildberger, currently an associate professor of mathematics at the University of New South Wales. His ideas are set out in his 2005 book Divine Proportions: Rational Trigonometry to Universal Geometry. According to New Scientist, part of his motivation for an alternative to traditional trigonometry was to avoid some problems that occur when infinite series are used in mathematics. Rational trigonometry avoids direct use of transcendental functions like sine and cosine by substituting their squared equivalents. Wildberger draws inspiration from mathematicians predating Georg Cantor's infinite set-theory, like Gauss and Euclid, who he claims were far more wary of using infinite sets than modern mathematicians. To date, rational trigonometry is largely unmentioned in mainstream mathematical literature.
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