from a base elevation of 9500 ft., a mountain rises to a summit elevation of 14318 ft. over a horizontal distance of 15847 ft.

I cannot figure out the grade of the peak. Can someone please help me?

doesn't the peak RISE 14318 - 9500 feet

and isn't the RUN 15847 feet?

how is grade or slope defined?

I need to find what percent the grade is

divide the rise by the run, then multiply by 100

To find the grade of the peak, you need to calculate the change in elevation divided by the horizontal distance traveled. In this case, the change in elevation is the summit elevation minus the base elevation, which is 14318 ft - 9500 ft = 4818 ft. The horizontal distance is given as 15847 ft.

To find the grade, you can use the formula:

Grade = (Change in elevation / Horizontal distance) * 100

Plugging in the values, the grade of the peak is:

Grade = (4818 ft / 15847 ft) * 100 ≈ 30.38%

Therefore, the grade of the peak is approximately 30.38%.