Answer: Path A grade is 39.39% and Path B is 70.25%.
Explanation:
Since we have given that
Path A
for every 33 meters of horizontal distance, the vertical change is 13 meters.
Mountain path grade would be
![(13)/(33)* 100\\\\=(1300)/(33)\\\\=39.39\%](https://img.qammunity.org/2020/formulas/mathematics/middle-school/suvyi052wphbfx0gh843vse6s70wb1hqsx.png)
Path B
for every 4.27 meters of horizontal distance, the vertical change is 3 meters.
Mountain path grade would be
![(3)/(4.27)* 100\\\\=(300)/(4.27)\\\\=70.25\%](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cstky02dkva2eabp6ayd6law7ekpdjm7gg.png)
Hence, Path A grade is 39.39% and Path B is 70.25%.