please help me with this

The range of possible heights is given by the inequality:
d ≥ 300.125 m
We know that the time that it takes for an object to fall from a distance d is:
[tex]t = \frac{\sqrt{2d} }{4.9}[/tex]
In this case, we know that t ≥ 5s.
Then we can solve for the minimum distance, which is given when t = 5s.
[tex]5 = \frac{\sqrt{2d} }{4.9}\\\\(5*4.9)^2/2 = d = 300.125[/tex]
So the minimum height of the building is 300.125 meters, then the range of possible heights is:
d ≥ 300.125 m
If you want to learn more about inequalities:
https://brainly.com/question/18881247
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