Answer
$x = 502.4$ m
Work Step by Step
Since we have the measure of one angle and the measure of the side opposite to that angle, we can use the tangent ratio to find $x$, which is the side adjacent to the given angle.
The tangent ratio is given as follows:
tan $A = \frac{opposite}{adjacent}$
Let's plug in what we know:
tan $22^{\circ} = \frac{203}{x}$
Multiply each side by $x$:
tan $22^{\circ}(x) = 203$
Divide both sides by tan $22^{\circ}$:
$x$ = 203/tan $22^{\circ}$
Divide to solve:
$x = 502.4$ m