Ball in a inclinated plan

Starting from the rest, one ball falls vertically on an inclined plane with a $\beta$ angle related to the horizontal, giving followed perfectly followed elastical shocks. If "d" is the initial distance of the ball from the plan, get $d,n$ and $\beta$ , of the distance in function of the " $n$ "shock from the initial shock

Use $n=10, d=5,\beta=30^\circ$ .