
B) 12/13
1) In this triangle, the sine of angle A is given by the opposite leg over the hypotenuse, so we can write it out. Since the hypotenuse is opposite to the right angle:
[tex]\begin{gathered} \sin (A)=\frac{36}{39} \\ \sin (A)\text{ = }\frac{12}{13} \end{gathered}[/tex]Note that we simplified that original ratio 36/39 dividing both numerator and denominator by 3
2) Hence, the answer is B) 12/13