We will have the following:
First, we determine the time it takes for the motorcycle to traverse the 40 m:
[tex]40m=(100m/s)t\Rightarrow t=0.4s[/tex]Now, we will use the time to determine the height of the ramp:
[tex]\begin{gathered} d=(0m/s)(0.4s)+\frac{(9.8m/s^2)(0.4s)^2}{2}\Rightarrow d=\frac{98}{125}m \\ \\ \Rightarrow d=0.784m \end{gathered}[/tex]So, the ramp was located 0.784 meters in height.
