In right triangle \(\triangle{ABC}\) shown below, the given lengths are in millimeters. What is \(\sin{A}\) ?

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Sine refers to the ratio of the opposite side to the hypotenuse. The side opposite to \(\angle{A}\) is 7, and the hypotenuse is 9.

$$ \text{opposite} : \text{hypotenuse} $$ $$ = 7:9 = \boxed{\frac{7}{9}} $$