Answer
$0.17 \ square \ units$
Work Step by Step
We apply the area formula:
$k=\dfrac{1}{2} a \ c \sin B$
Plug in the given data.
Therefore, $k=\dfrac{1}{2} (2)(1) \sin (10^{\circ}) = \sin (10^{\circ}) \approx 0.17 \ square \ units$
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