Given data
*The given velocity of the BMX biker is u = 27 m/s
*The horizontal range from the base of the ledge is R = 7.2 m
The formula for the time taken by the BMX bike is to reach 7.2 m from the base of the ledge is given by the relation as
[tex]\begin{gathered} R=ut \\ t=\frac{R}{u} \end{gathered}[/tex]Substitute the known values in the above expression as
[tex]\begin{gathered} t=\frac{7.2}{27} \\ =0.26\text{ s} \end{gathered}[/tex]The formula for the height of the ledge is given by the equation of motion as
[tex]h=\frac{1}{2}gt^2[/tex]Substitute the known values in the above expression as
[tex]\begin{gathered} h=\frac{1}{2}\times9.8\times(0.26)^2 \\ =0.33\text{ m} \end{gathered}[/tex]Hence, the height of the ledge is h = 0.33 m
