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:

$$\begin{gathered} x={\displaystyle \frac{\mathrm{\Delta }y}{\mathrm{\Delta }x}}\cdot 1000 \\ x={\displaystyle \frac{6.3m}{4.2\cdot 1000m}}\cdot 1000 \\ x=6.3\mathrm{/}4.2=1.5\text{ ‰} \end{gathered}$$

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