Question

identifying trig ratios (no diagram)
question
in \\( \delta hij \\), the measure of \\( \angle j = 90 ^ { \circ }, ji = 7 \\),
\\( ih = 25 \\), and \\( hj = 24 \\). what ratio
represents the sine of \\( \angle i \\)?
answer
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Explanation:

Step1: Recall the definition of sine

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify the sides relative to $\angle I$

For $\angle I$ in $\triangle HIJ$ with $\angle J = 90^{\circ}$, the side opposite to $\angle I$ is $HJ = 24$, and the hypotenuse is $IH=25$.

Answer:

$\frac{24}{25}$