... ex.3. Smoke is spotted E40oN from a ranger station, about 30km away. The firefighters must travel E and then
N to get to the fire. How far do they travel in each direction? Round to the nearest km.
... Geometry A Final Exam Review
Completed sections include chapter 1 (all), 2 (all), 3 (all), 4, 5, and
6.1-6.6. For extra credit, the student will complete any section listed
In order to receive any credit, students will need to:
... A farmer has a triangular field where two sides
measure 450 yards and 320 yards. The angle
between these two sides measures 80. The farmer
wishes to use an insecticide that costs $4.50 per 100
square yards or any part of 100 yards. What will it
cost to use insecticide on this field?
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.