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find: sin a answer

Question

find: sin a
answer

Explanation:

Step1: Recall the sine formula

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

Step2: Identify the sides for angle \(A\)

For angle \(A\), the opposite side is \(BC = 57\) and the hypotenuse is \(AC=95\).

Step3: Calculate \(\sin A\)

Using the formula \(\sin A=\frac{\text{opposite}}{\text{hypotenuse}}\), we substitute the values: \(\sin A=\frac{57}{95}\).

Answer:

\(\frac{57}{95}\)