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Why are there official specifications for the slopes of roads, ramps, and staircases?

Why do skiers and snowboarders use the switchback (zigzag) technique when descending some slopes?

What is the typical height of a street curb? If the curb has an access ramp, what is its slope?

 

Is the slope of the initial climb of a roller coaster more or less than the slope of the first descent?

 
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