When the distance is 100ft, the height of the rocket is 98.914 ft.
We know that the relation between height and distance is:
[tex]d = \sqrt{216 + h^2}[/tex]
In this case, we know that the distance is 100ft, so we can replace d by 100 in the above equation and solve that for h.
[tex]100 = \sqrt{216 + h^2} \\\\100^2 = 216 + h^2\\\\10,000 - 216 = h^2\\\\\sqrt{10,000 - 216} = h = 98.914[/tex]
So when the distance is 100ft, the height of the rocket is 98.914 ft.
If you want to learn more about heights:
https://brainly.com/question/6613758
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