Question

Calculate each mountain path grade to the nearest percent. Path A for every 34 meters of horizontal distance, the vertical change is 12 meters Path B for every 4.27 meters of horizontal distance, the vertical change is 2 meters

Answer 1

The grade for Path A, with a vertical change of 12 meters over a horizontal distance of 34 meters, is 35% when rounded to the nearest percent. For Path B, which has a vertical change of 2 meters over a horizontal distance of 4.27 meters, the grade is 47% after rounding.

Step-by-step explanation:

To calculate the grade of each mountain path to the nearest percent, we will use the formula for grade percentage which is (vertical change / horizontal distance) × 100. The grade percentage provides a numerical measure of the steepness of a path.

For Path A, the vertical change is 12 meters, and the horizontal distance is 34 meters. Therefore, the grade percentage is calculated as follows:

Grade percentage for Path A = (12 / 34) × 100 = 35.2941176%

After rounding to the nearest percent, the grade for Path A is 35%.

For Path B, the vertical change is 2 meters, and the horizontal distance is 4.27 meters. The grade percentage is calculated similarly:

Grade percentage for Path B = (2 / 4.27) × 100 = 46.8367306%

After rounding to the nearest percent, the grade for Path B is 47%.