Answer
Please see the work below.
Work Step by Step
As $|A.B|=2|A\times B|$
$|A||B|cos{\theta}=2|A||B|sin{\theta}$
$\frac{sin(\theta)}{cos({\theta})}=\frac{1}{2}$
$tan(\theta)=\frac{1}{2}=27^{\circ}$
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