what is the value of sin(A) ?

Triangles ABC and XYZ are similar, so the corresponding angle to A in XYZ triangle is angle X. We can actually find sin(X) very easily.
Because we know all sides and the right angle, we can use certain formula to find sin(X), like this:
sin(X) = opposite side / hypotenuse = 6/10 = 3/5
sin(X) = sin(A)
The correct answer is sin(A) = 3/5.
The value of sin(A) from the given triangle is 4/5
Assuming both triangles are similar triangles, hence the sides of the triangle ABC will be the same as that of triangle XYZ
This shoes that AB = XY = 10
AC = XZ = 8
According to SOH CAH TOA identity, hence;
[tex]sin \theta = \frac{opposite}{hypotenuse}\\sin \theta = \frac{YX}{XY}\\sin \theta = \frac{8}{10}\\ sin \theta = \frac{4}{5}\\[/tex]
This shows that the value of sin(A) from the given triangle is 4/5
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