Problem

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 $\%$.

Solution

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 \(\boxed{70\%}\).

From Solvely APP
Source: https://solvelyapp.com/problems/zZ6mQazbPh/

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