Triangle $FGH$ is similar to triangle $JKL$, where angle $F$ corresponds to angle $J$ and angles $\mathcal{G}$ and $K$ are right angles. If $\sin(F)=\frac{308}{317}$, what is the value of $\sin(J)$?

MM

Mashaal Masha

Mar 01, 2024

Triangle $FGH$ is similar to triangle $JKL$, where angle $F$ corresponds to angle $J$ and angles $G$ and $K$ are right angles. If $\sin(F)=\frac{308}{317}$, what is the value of $\sin(J)$?

Difficulty: Medium

A:

\frac{75}{317}

B:

\frac{308}{317}

C:

\frac{317}{308}

D:

\frac{317}{75}

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ID: 65e24c3ae130c9f9159ad27a