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Question
write the ratio for sin x. triangle with right angle at i, sides: iz=6, ix=8, zx=10
Step1: Recall sine definition
In a right triangle, $\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$.
Step2: Identify sides for $\angle X$
For $\angle X$, opposite side is $ZI = 6$, hypotenuse is $XZ = 10$.
Step3: Write the ratio
$\sin(X) = \frac{6}{10}=\frac{3}{5}$.
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$\frac{3}{5}$ (or $\frac{6}{10}$)