Question

given right triangle qrs, what is the value of sin(30°)?
√3/3
1/2
√3/2
2/1

Explanation:

Step1: Recall sine - function definition

The sine of an angle in a right - triangle is defined as $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify opposite and hypotenuse for 30 - degree angle

For $\angle S = 30^{\circ}$ in right - triangle $QRS$, the side opposite to $\angle S$ is $QR = 5$ and the hypotenuse is $QS=10$. But we can also use the standard trigonometric values. The value of $\sin(30^{\circ})$ is a well - known constant.
The standard value of $\sin(30^{\circ})=\frac{1}{2}$.

Answer:

B. $\frac{1}{2}$