Given data
*The time to reach the ground is t = 2.7 s
*The value of the acceleration due to gravity is g = 9.8 m/s^2
The formula for the height of the balcony 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}(9.8)(2.7)^2 \\ =35.7\text{ m} \end{gathered}[/tex]Hence, the height of the balcony is h = 35.7 m
