from a base elevation of 9600 ft, a mountain peak in colorado rises to a summit elevation of 14,307 ft over the horizontal distance of 15,850 ft, what is the grade of the peak?
To calculate the grade of the mountain peak, we can use the formula:
Grade = (Change in Elevation / Horizontal Distance) * 100
First, we need to determine the change in elevation by subtracting the base elevation from the summit elevation:
Change in Elevation = Summit Elevation - Base Elevation
= 14,307 ft - 9,600 ft
= 4,707 ft
Now, we can calculate the grade using the formula:
Grade = (Change in Elevation / Horizontal Distance) * 100
Grade = (4,707 ft / 15,850 ft) * 100
Grade ≈ 29.65
So, the grade of the mountain peak is approximately 29.65%.