from a base elevation of 6800 ft, a mountain peak rises to a summit elevation of 14478ft over a horizontal distance of 15845 ft. find the grade of peak.
the grade of the peak is ___ %
Difference in elevation over base, H = 14478-6800 ft
Horizontal distance, D = 15845 ft
Gradient = difference in height/distance
= H/D
To find the grade of the peak, we need to calculate the vertical rise over the horizontal distance and then express it as a percentage.
The vertical rise is the difference in elevation, which is 14478 ft - 6800 ft = 7678 ft.
The horizontal distance is given as 15845 ft.
To calculate the grade, we can use the formula:
Grade = (Vertical Rise / Horizontal Distance) * 100
Substituting the values:
Grade = (7678 ft / 15845 ft) * 100
Calculating this:
Grade = 0.4846 * 100
Grade ≈ 48.46%
Therefore, the grade of the peak is approximately 48.46%.