from a base elevation of 8500 ft, a mountain peak in colorado rises to a summit elevation of 14595 ft over a horizontal distance of 15842 ft. find the grade of the peak.

rise = 14595-8500

run = 15842

slope = rise/run

Tell whoever assigned the question that is no mountain in Colorado that high.

To find the grade of the peak in Colorado, we need to determine the change in elevation and the corresponding horizontal distance. The grade, also known as the slope or incline, is typically expressed as a percentage or ratio.

Step 1: Calculate the change in elevation
Subtract the base elevation from the summit elevation:
14595 ft - 8500 ft = 6095 ft

Step 2: Determine the horizontal distance
Given that the horizontal distance is 15842 ft, we can use this value directly.

Step 3: Calculate the grade
Divide the change in elevation by the horizontal distance and multiply by 100 to get the grade as a percentage:
(6095 ft / 15842 ft) * 100 = 38.48%

Therefore, the grade of the peak in Colorado is approximately 38.48%.