Question 113
A circle $k$ is tangent to the arms of an acute angle $A O B$ at points $A$ and $B$. Let $A D$ be the diameter of $k$ through $A$ and $B P \perp A D$, $P \in A D$. The line $O D$ meets $B P$ at point $M$. Find the ratio $\frac{B M}{B P}$.