"D" == "claimed thusly:
D> I've got a board set at a 45 degree angle, back from a line. How much
D> (percentage) of the length of the board does it take up? To
D> conceptualize the issue, I drew a one inch line on paper with a ruler,
D> and rotated the ruler to a 45 degree angle, thinking that the one inch
D> mark on the ruler would be only 1/2 away from the starting point (along
D> the original path of the ruler), but it looks like it's about 90% along
D> the one inch span. What's the formula?
however wide the board is, that's the length which will be
removed. a 45deg triangle's two legs are equal, and the
hypotenuse is 1.4 times longer.
remember "soh-cah-toa":
sin (angle) = opposite
/ hypotenuse
cos (angle) = adjacent / hypotenuse
tangent (angle) = opposite / adjacent
also, for right triangles, the sum of the square of the sides
equals the square of the hypotenuse. that is, a^2 + b^2 = c^2.
i have a page for compound miters on my website, if you're at all
interested in how to use simple geometry in the shop.
regards,
greg (non-hyphenated american)
--
Multiculturalism is a euphemism for national division
http://users.adelphia.net/~kimnach
http://www.grc.nasa.gov
I opted for Betamax, the world for VHS;
I for Amiga, the world IBM clones.
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