Answer: Path A grade is 39.39% and Path B is 70.25%.
Step-by-step 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
[tex]\dfrac{13}{33}\times 100\\\\=\dfrac{1300}{33}\\\\=39.39\%[/tex]
Path B
for every 4.27 meters of horizontal distance, the vertical change is 3 meters.
Mountain path grade would be
[tex]\dfrac{3}{4.27}\times 100\\\\=\dfrac{300}{4.27}\\\\=70.25\%[/tex]
Hence, Path A grade is 39.39% and Path B is 70.25%.