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Math·Geometry and Trigonometry·Right triangles and trigonometry

hard

For triangle $ABC$, the length of $\overline{AB}$ is 11 less than the length of $\overline{AC}$. Point $D$ (not shown) lies on $\overline{AC}$ such that $\overline{BD}$ (not shown) is perpendicular to $\overline{AC}$. What is the value of $\frac{BC}{BD}$?

1

28/17

2

1.647

3

1.65