Question

identifying trig ratios (no diagram)
question
in \\( \triangle qrs \\), the measure of \\( \angle s = 90 ^ { \circ }, sr = 7 \\),
\\( qs = 24 \\), and \\( rq = 25 \\). what ratio
represents the cosine of \\( \angle q \\)?
answer
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Explanation:

Step1: Recall the cosine formula

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. For $\angle Q$, the adjacent side to $\angle Q$ is $QS$ and the hypotenuse is $RQ$.

Step2: Substitute the values

We know that $QS = 24$ and $RQ=25$. Using the formula $\cos Q=\frac{QS}{RQ}$.

Answer:

$\frac{24}{25}$