Joe wrote: | I want to double check some wedges I've made for angled cuts. In a | 24" long wedge, how much gain on the square corner is there for | each degree of angle? | | I know the method is rattling around back there amongst the unused | and as yet unkilled brain cells but I can't seem to come up with it. | | Thanks to the more mathmatically inclined.
It's not the same for each degree of angle (the gain going from 0 to 1 degree is a lot larger than the gain when you go from 88 to 89).
Since the tangent of an angle (a) is equal to the rise (y) divided by the run (x=24), you can calculate:
tan(a) = y / 24
y = 24 * tan(a)
If a1 is your starting angle then
y1 = 24 * tan(a); and y2 = 24 * tan(a+1)
and the gain for that 1 degree difference is
y2 - y1 = 24 * (tan(a+1) - tan(a))
-- Morris Dovey DeSoto Solar DeSoto, Iowa USA
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