Changing 3.25 mi to feet is easiest. Since one mile is 5280 ft., multiplying we get 17,160 ft for our horizontal change.

Now, we can use the slope formula with the two points:

(0,0) and (17160, -1800)

slope = m = (change in y) / (change in x)

= (0 – – 1800) / (0 – 17160)

= 1800/(-17160)

= -45/429

Finally, divide to get the slope to the nearest hundredth, which is: -0.10

So the rise = -1800ft. The run is 3.25 miles however you need to convert miles into feet to make the units match. 1mile = 5280 ft. So the run is 5280 x 3.25 = 17160 ft Since slope is rise over run the slope is equal to -1800/17160. Divide it out and round to the nearest hundredth and the answer is -0.10

tan x = 1800/(3.25*5280)

compute x now.

If slope refers to the distance he has travelled down, you can find that as well now.

distance = 1800/sinx

(after you compute x from above)

You can get the same using co-ordinate geometry as well. If (0,0) represents the vertex of the mountain, then (-3.25*5280, -1800) represents his final co-ordinate. Answer will be same as above