Mathematics, 12.02.2020 21:30 Jasten

Eine Gerade hat die Steigung von 20% = 20/100, wenn sie auf 100m einen Höhenunterschied von 20m bewältigt.
a) Welche konstante Steigung müsste eine Straße haben, die einen Höhenunterschied von 157m auf einer Stecke von 1800m überwindet?
b) Wie lange wäre eine Straße mindestens, die bei maximal 10% Steigung einen Höhenunterschied von 157m überwindet?

translation:
A straight line has a gradient of 20% = 20/100 if it manages a height difference of 20m at 100m.
a) What constant slope should a road have that overcomes a height difference of 157m over a distance of 1800m?
b) How long would a road be at least that overcomes a height difference of 157m with a maximum gradient of 10%?

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