The question is related to trigonometric ratios formula and here we have to use the formula of sine of the angle .
In the diagram, opposite= 12 and hypotenuse =37 .
We need to find the value of sine of angle A. And the formula of sin A is
[tex] sin A = \frac{opposite}{hypotenuse} = \frac{12}{37} [/tex]
So out of the given options, correct option is the third option .