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 .
the grade of the peak is ? %
grade is the same as slope
and slope = rise/run
subtract the two heights to get the rise, the run is given
To find the grade of the peak, we need to use the formula:
Grade = (Change in elevation / Horizontal distance) * 100
First, let's calculate the change in elevation:
Change in elevation = Summit elevation - Base elevation
= 14660ft - 8600ft
= 6060ft
Next, we divide the change in elevation by the horizontal distance:
Grade = (6060ft / 15838ft) * 100
Now we can calculate the grade:
Grade = (6060 / 15838) * 100
≈ 0.383 * 100
≈ 38.3%
Therefore, the grade of the peak is approximately 38.3%.