Climb

For horizontal distance 4.2 km road rise by 6.3 m. Calculate the road pitch in ‰ (permille, parts per thousand).

Correct result:

x =  1.5 ‰

Solution:

x=ΔyΔx⋅1000  x=6.3 m4.2⋅1000 m⋅1000 x=6.3/4.2=1.5 ‰x = \dfrac{ \Delta y }{ \Delta x } \cdot 1000 \ \\ \ \\ x = \dfrac{ 6.3 \ m }{ 4.2 \cdot 1000 \ m } \cdot 1000 \ \\ x = 6.3/ 4.2 = 1.5 \ ‰

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