from a base elevation of 8600ft a mountain peak in Colorado rises to a summit elevation of 14660ft over a horizontal distance of 15838ft find the grade of the peak
To find the grade of the peak, you can use the formula:
Grade = (Rise / Run) * 100
In this case, the rise is the difference in elevation between the base and the summit, and the run is the horizontal distance traveled.
Given:
Base elevation (B) = 8600 ft
Summit elevation (S) = 14660 ft
Horizontal distance (D) = 15838 ft
First, let's calculate the rise:
Rise = Summit elevation - Base elevation
= 14660 ft - 8600 ft
= 6060 ft
Now, let's calculate the grade:
Grade = (Rise / Run) * 100
= (6060 ft / 15838 ft) * 100
≈ 38.28%
Therefore, the grade of the peak is approximately 38.28%.