The triangles QRS is similar to triangle XYZ
From the property of similar triangles, The corresponding angles of similar triangles are equal.
So, angle Q = Angle X
SinQ = SinX
Recall the defination of sine of angle in right angle triangle.
[tex]\sin \theta=\frac{Perpendicular}{Hypotenuse}[/tex]
For angle X, Perpendicular YZ = 9, hypotenuse XY = 15
[tex]\begin{gathered} \sin X=\frac{9}{15} \\ \sin X=\frac{3}{5} \end{gathered}[/tex]
Since, sinX = sinQ
so, sinQ = 3/5
Answer: A) 3/5
