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Re:World's steepest funicular railway opens in Switzerland by igitur on Saturday December 16, 2017 @09:57AM (#15939780)
So a 90° angle is... infinity%?
Re:World's steepest funicular railway opens in Switzerland by mikestew on Saturday December 16, 2017 @10:49AM (#15940027)
It’s related to a ratio. A ~6 degree slope would have you dropping one meter for every ten meters you move forward: 10%. 45 degrees means one meter for every meter forward: 100%. Keep plotting that out and it approaches infinity as you reach 90 degrees (or just ask, “for every meter forward, how many up/down?” if it is 90 degrees.)
Re:World's steepest funicular railway opens in Switzerland by lisper on Saturday December 16, 2017 @02:41PM (#15941485)
The problem is that "forward" is ambiguous. You can measure it relative to your direction of travel, or perpendicular to the gravitational vector. For small gradients these are more or less the same, but the steeper the slope the more these two measures diverge.
Re:World's steepest funicular railway opens in Switzerland by usrusr on Saturday December 16, 2017 @09:50PM (#15943739)
Fortunately, as 110% it's not ambiguous anymore.
Re:World's steepest funicular railway opens in Switzerland by gshubert17 on Saturday December 16, 2017 @11:41AM (#15940246)
With slope in degrees and grade in percent,

100*tan(slope) = grade%

slope = arctan(grade%/100)

so 110% is about 47.7 degrees, and tan(90 degrees) is infinitely large.

Re:World's steepest funicular railway opens in Switzerland by tmsldd on Saturday December 16, 2017 @11:52PM (#15944192)
Precisely. Math makes it clear to understand and settle down the discussion, thanks ;)
Re:World's steepest funicular railway opens in Switzerland by myrion on Saturday December 16, 2017 @10:01AM (#15939803)
It would be, yes, basically.
Re:World's steepest funicular railway opens in Switzerland by jacobolus on Saturday December 16, 2017 @01:02PM (#15940737)
If you have a 90° angle that would be called a “wall” not a “slope”.