find the sine of $angle f$.\nsimplify your answer and write it as a proper fraction, improper fraction, or…

find the sine of $angle f$.\nsimplify your answer and write it as a proper fraction, improper fraction, or whole number.\n$sin(f) = square$

find the sine of $angle f$.\nsimplify your answer and write it as a proper fraction, improper fraction, or whole number.\n$sin(f) = square$

Answer

Explanation:

Step1: Identify similar triangles

$\triangle FED \sim \triangle FBC$ (corresponding angles are equal, so the triangles are similar, meaning their side ratios are equal).

Step2: Confirm $\angle F$'s opposite/adjacent

In $\triangle CDE$, $\sin(\angle DEC) = \frac{CD}{CE} = \frac{15}{17}$. Since $\angle DEC = \angle F$ (corresponding angles of similar triangles), $\sin(F) = \sin(\angle DEC)$.

Answer:

$\frac{15}{17}$