Answer
$OQ = \frac{1}{2}$
Work Step by Step
Let $x = OQ$:
$\frac{x}{r} = cos ~60^{\circ}$
$\frac{x}{r} = \frac{1}{2}$
$x = (r)~(\frac{1}{2})$
$x = (1)~(\frac{1}{2})$
$x = \frac{1}{2}$
$OQ = \frac{1}{2}$
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