Question

in the triangle below, what is the value of sin α? 6 12 α 6√3 a 2 b 5/6 c √3/2

Explanation:

Step1: Recall sine - ratio formula

The formula for the sine of an angle in a right - triangle is $\sin\alpha=\frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify opposite and hypotenuse

For angle $\alpha$, the side opposite to $\alpha$ has length 6, and the hypotenuse has length 12.

Step3: Calculate $\sin\alpha$

$\sin\alpha=\frac{6}{12}=\frac{1}{2}$.

Answer:

None of the provided options are correct. The value of $\sin\alpha$ is $\frac{1}{2}$.