Answer
Sin A = 0.6
Step-by-step explanation
We can see that triangle ABC is similar to triangle XYZ.
Since two similar triangles have the same corresponding angles, we can easily find Sin A by finding Sin X since Angle A is corresponding to Angle X.
In a right-angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.
So, after noting the three sides in a right triangle, we will then use trignometric ratios to solve for any of the unknown. If the non-right-angle angle given is X, the trignometric ratios in short forms are written as
SOH, CAH and TOA
SOH means Sin X = (Opp/Hyp)
CAH means Cos X = (Adj/Hyp)
TOA means Tan X = (Opp/Adj)
So, the one to be used depends on the sides of the triangle that are provided.
For this question,
Hypotenuse = 10
Opposite = 6
Adjacent = 8
Angle = X
SOH means Sin X = (Opp/Hyp)
Sin X = (6/10)
Sin X = 0.6
Sin A = Sin X = 0.6
Hope this Helps!!!