We can draw the rise in the road as:
We have to calculate the angle θ.
As we have a right triangle, we can relate rise and length with the angle using this trigonometric ratio:
[tex]\begin{gathered} \tan (\theta)=\frac{\text{Opposite}}{\text{Adyacent}}=\frac{6}{82}=\frac{3}{41} \\ \theta=\arctan (\frac{3}{41})\approx4.18\degree \end{gathered}[/tex]
Answer: the gradient angle of the road is 4.18°
