Answer
$0.528\; km$
Work Step by Step
Let $x$ = distance from base of arch
$tan(20^{\circ}) = \frac{192}{x} $
$x = \frac{192}{tan(20^{\circ})} $
$x$
$ \approx 527.52\; m$
$= 527.52\; m \times \frac{1\; km}{1000\; m}$
$= 0.528\; km$
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