Question

right triangle abc is shown. what is the value of sin(b)? enter your answer in the box. sin(b) =

Explanation:

Step1: Recall sine definition

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

Step2: Identify sides for angle B

For $\angle B$, opposite side is $AC = 24$, hypotenuse is $BC = 25$.

Step3: Calculate $\sin(B)$

$\sin(B) = \frac{AC}{BC} = \frac{24}{25}$

Answer:

$\frac{24}{25}$