Right Triangle

Geometry Level 2

\(ABC\) is a right triangle with \(\angle ABC=90^\circ\). Extend side \(BC\) and take a point \(D\) such that \(\overline{BC}:\overline{CD}=2:1\). If \(\angle CAB=60^\circ\) and \(\angle CAD=\theta,\) what is the value of \(\tan \theta?\)

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