SAT Mathematics Practice Test 3

Triangle ABC is a right triangle with its right angle at B.
Thus,$\stackrel{-}{\mathit{A}\mathit{C}}$ is the hypotenuse of right triangle ABC, and $\mathit{A}\stackrel{-}{\mathit{B}}$ and $\mathit{B}\stackrel{-}{\mathit{C}}$ are the legs of right triangle ABC.
By the Pythagorean theorem, Since triangle DEF is similar to triangle ABC,
with vertex F corresponding to vertex C, the measure of angleF equals the measure of angle C.
Thus, sin F = sin C.
From the side lengths of triangle ABC, Therefore, $\mathit{s}\mathit{i}\mathit{n}\mathit{F}=\frac{3}{5}$.
Either $\frac{3}{5}$ or its decimal equivalent or its decimal equivalent,
6 may be gridded as the correct answer.