Answer:
The first option: 0.8
Explanation:
Let us draw the angle.
Now,
[tex]\sin \theta=\frac{opposite}{\text{hypotenuse}}[/tex]
Now, using the Pythagoras theorem we find that
[tex]hypotenuse=\sqrt[]{6^2+8^2}[/tex][tex]\begin{gathered} hypotenuse=\sqrt[]{36+64^{}} \\ \Rightarrow hypotenuse=10 \end{gathered}[/tex]
Therefore,
[tex]\sin \theta=\frac{opposite}{hypotenuse}=\frac{opposite}{10}[/tex]
since for our angle, opposite = 8, we have
[tex]\sin \theta=\frac{8}{10}[/tex][tex]\boxed{\sin \theta=0.8.}[/tex]
Therefore, the first choice (0.8) is the correct answer.
