Question

find sin(\beta) in the triangle.

Explanation:

Step1: Recall sine definition

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

Step2: Identify sides for $\beta$

For $\angle \beta$, opposite side is $AC = 12$, hypotenuse is $AB = 13$.

Step3: Calculate $\sin(\beta)$

$\sin(\beta) = \frac{AC}{AB} = \frac{12}{13}$.

Answer:

$\frac{12}{13}$