Question

find the exact value of \\(\sin b\\) in simplest radical form.

answer attempt 1 out of 4
\\(\sin b = \\)
submit answer

Explanation:

Step1: Recall sine definition for right triangles

For an acute angle in a right triangle, $\sin(\theta) = \frac{\text{opposite side}}{\text{hypotenuse}}$

Step2: Identify sides for angle $B$

Opposite side to $B$: $\sqrt{67}$, Hypotenuse: $12$

Step3: Substitute into sine formula

$\sin B = \frac{\sqrt{67}}{12}$

Answer:

$\frac{\sqrt{67}}{12}$