Answer
$\sqrt{10600}\approx102.956\text{ }ft$
Work Step by Step
A right triangle is formed with legs $50$ and $90.$ Using $a^2+b^2=c^2$ or the Pythagorean Theorem, then
\begin{array}{l}\require{cancel}
a^2+b^2=c^2
\\\\
50^2+90^2=c^2
\\\\
2500+8100=c^2
\\\\
10600=c^2
\\\\
c=\sqrt{10600}
.\end{array}
Hence, the referee jogged $
\sqrt{10600}\approx102.956\text{ }ft
.$