Answer
The statement makes sense.
Work Step by Step
Let us suppose $\theta $ to be the angle of elevation, h to be the height of the arch and $r$ to be the radius.
Apply the tangent ratio to get
$\begin{align}
& \tan \theta =\frac{h}{r} \\
& h=r\tan \theta
\end{align}$
Thus, the above statement provided is sufficient to find the height of the arch.
