For the given right triangle, we want to write the ratio for the sine of ∠ A.
Let's start by identifying the hypotenuse of the triangle and the sides that are opposite and adjacent to ∠ A.
We see that the length of the hypotenuse is 10. The length of the side adjacent to ∠ A is 6 and the length of the side opposite to ∠ A is 8. With this information, we can find the desired ratio.