Question

quiz 1 find sin(α) in the triangle.

Explanation:

Step1: Recall sine definition

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

Step2: Identify sides for angle α

For angle $\alpha$ at vertex $A$, the opposite side is $BC = 12$, and the hypotenuse is $AB = 37$.

Step3: Calculate $\sin(\alpha)$

Using the sine formula: $\sin(\alpha) = \frac{BC}{AB} = \frac{12}{37}$.

Answer:

$\frac{12}{37}$