from a base elevation of 7900 ft, a mountain peak in colorado rises to a summit elevation of 14827 ft over a horizontal distance of 15838 ft. find the grade of the peak.
A: 44%
To find the grade of the peak, we need to calculate the vertical rise compared to the horizontal distance. The grade is expressed as a percentage.
First, we find the vertical rise by subtracting the base elevation from the summit elevation:
Vertical Rise = Summit Elevation - Base Elevation
Vertical Rise = 14827 ft - 7900 ft
Vertical Rise = 6927 ft
Next, we divide the vertical rise by the horizontal distance and multiply by 100 to get the grade as a percentage:
Grade = (Vertical Rise / Horizontal Distance) x 100
Grade = (6927 ft / 15838 ft) x 100
Grade = 0.437 x 100
Grade = 43.7%
Therefore, the grade of the mountain peak is approximately 44%.