Mashaal Masha
In triangle $ABC$, the measure of angle $B$ is $90^{\circ}$ and $\overline{BD}$ is an altitude of the triangle. The length of $\overline{AB}$ is $15$ and the length of $\overline{AC}$ is $23$ greater than the length of $\overline{AB}$. What is the value of $\frac{BC}{BD}$?
Difficulty: Hard
A: 

$\frac{15}{38}$

B: 

$\frac{15}{23}$

C: 

\(\frac{23}{15}\)

D: 

$\frac{38}{15}$

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