If the slopeangle is 60° over a 10" length, what is the change in elevation?

Classic trigonometry:

theta is 60

adjacent side is 10

find opposite side

soh cah toa

sin cos tan

use tangent

tan = O/A

so tan (60) = O/10

multiply by 10 each side

10tan (60) = O

Opposite = 17.32"

thats your change in elevation