Calculate each mountain path grade to the nearest percent.
Path A for every 39 meters of horizontal distance, the vertical change is 11 meters
Path B for every 4.28 meters of horizontal distance, the vertical change is 3 meters
The grade of $P$ ath $A$ is $\%$. The grade of $P$ ath $B$ is $\%$.
Answer
Rounding to the nearest percent, the grade of Path A is \(\boxed{28\%}\) and the grade of Path B is \(\boxed{70\%}\).
Step 1 ：The grade of a path is calculated as the vertical change divided by the horizontal distance. We can calculate this for both Path A and Path B and then convert to a percentage by multiplying by 100.
Step 2 ：For Path A, the horizontal distance is 39 meters and the vertical change is 11 meters. So, the grade of Path A is \(\frac{11}{39} \times 100\) which is approximately 28.205128205128204.
Step 3 ：For Path B, the horizontal distance is 4.28 meters and the vertical change is 3 meters. So, the grade of Path B is \(\frac{3}{4.28} \times 100\) which is approximately 70.09345794392523.
Step 4 ：Rounding to the nearest percent, the grade of Path A is \(\boxed{28\%}\) and the grade of Path B is \(\boxed{70\%}\).
