Answer:
if sin B = sin Y then sin Y = 12/13
Step-by-step explanation:
Triangle ABC is similar to Triangle XYZ
Let angle C be the right angle
Cosine of B is equal to 5/13
Cos B = adjacent/hypotenuse = 5/13
NOTE = below is the lowercase letters that represent the side lengths, not the angles
Adjacent (length of a) = 5 <-- given
Hypotenuse (length of c) = 13 <-- given
Opposide (length of b) = a^2 + b^2 = c^2 --> 5^2 + b^2 = 13^2 --> b = 12
sin B = sin Y
sin B = opp/hyp = 12/13
if sin B = sin Y then sin Y = 12/13
