Given that \(\cos(\theta) = 0.5\), we can find the value of \(\theta\) in degrees.
The cosine function equals 0.5 at:
\[ \theta = 60^\circ \quad \text{and} \quad \theta = 300^\circ \quad (\text{or } 360^\circ - 60^\circ). \]
However, since the question specifically asks for options among common angles, the answer is:
60°.