2021 IIMC keystage3-IWYMIC team Question 8

Let triangle $ABC$ be an acute triangle inscribed inside circle $O$. Let $P$ be a point outside $O$ such that $PB$ and $PC$ are both tangent to $O$. If $AP$ and $BC$ intersect at $D$ and $\frac{BD}{CD}=5$, then what is the value of $\frac{AB}{AC}$?



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