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Math·Geometry and Trigonometry·Right triangles and trigonometry

hard

In triangle $ABC$, the measure of angle $B$ is $90^{\circ }$ and $BD$ is an altitude of the triangle. The length of $AB$ is $15$ and the length of $AC$ is $17$. What is the value of $\frac{BC}{BD}$?

A

$\frac{15}{32}$

B

$\frac{15}{17}$

C

$\frac{17}{15}$

D

$\frac{32}{15}$