Answer:
h~=371.26m
Step-by-step explanation:
when an object falls we use the equations of accelerated motion. There is only one that gives distance.
![x = ut + (1)/(2) a {t}^(2)](https://img.qammunity.org/2020/formulas/physics/middle-school/sd3zkyla41qrryye00f6q908n6r85nadx5.png)
Since we have no initial velocity (started from rest) we can get rid of the (ut) term
where a we substitute g (gravitational acceleration, constant for given heights and almost 9.81m/s^2).
![h = (1)/(2) g {t}^(2) = (1)/(2) * 9.81 * {8.7}^(2) = 371.26m](https://img.qammunity.org/2020/formulas/physics/middle-school/ex5l9d429otzgdcjmomnfqmx9h2e3a8xst.png)