Rational Trigonometry/5

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Applications of Rational Trigonometry

If you are armed with the five main laws, we can solve many real-world problems.


 * 1) A flag is 50m away from us, and the spread to the top is 0.34.  What is the height of the flag?  After using the Spread Law, we see the quadrance of the distance is $$1287\frac{87}{99}$$ or a distance of approximately 35.9m.
 * 2) What is the height of the top of ladder which, when open, has a base of 6ft and sides of 8ft?  After drawing two right triangles, it is clear that the quadrance of the height is 55, so the height is around 7.4ft.
 * 3) A kite's edges have quadrances 4, 4, 9, and 9.  The spread at the 9's end is 0.8.  How wide is it?
 * 4) What is the distance between a point and a line?