One hill, three costumes
Chapter 2 called it slope. Road signs call it grade: — G equals one hundred times the rise, over the run, where (delta-h) is the change in height, is the LEVEL run in the same unit, and is the grade itself, in percent. An 8% hill climbs 8 m for every 100 m of LEVEL run. Earthworks crews wear a third costume: an n:1 slope, n metres across for each 1 down, so — a gentle 4:1 bank is a 25% grade.
And here is this chapter’s handshake: rise over run is exactly . So , and turns any grade into its angle. A 100% grade is not a wall — it is . Say that at dinner and watch somebody argue. You will win.
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