Answer
$100 \text{ feet}$
Work Step by Step
Substituting $
g=32
$ and $
v=80
$ in the given equation, $
v=\sqrt{2gh}
,$ results to
\begin{array}{l}\require{cancel}
80=\sqrt{2(32)h}
\\
80=\sqrt{64h}
\\
80=\sqrt{8^2h}
\\
80=8\sqrt{h}
\\
\dfrac{80}{8}=\sqrt{h}
\\
10=\sqrt{h}
.\end{array}
Squaring both sides, the equation above is equivalent to
\begin{array}{l}\require{cancel}
(10)^2=(\sqrt{h})^2
\\
h=100
.\end{array}
Hence, the distance the object has fallen, $h,$ is $
100 \text{ feet}
.$
