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Q)

A vertical tower AB have its end A on the level ground. Let C be the mid-point of AB and P be a point on the ground such that $AP = 2 AB$. If $\angle{BPC} = \beta$, then $\tan \beta$ is equal to


( A ) $\frac{2}{9}$
( B ) $\frac{4}{9}$
( C ) $\frac{1}{4}$
( D ) $\frac{6}{7}$

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