Question

given right triangle qrs, what is the value of sin(30°)?

Explanation:

Step1: Recall sine - angle formula

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 $\theta = 30^{\circ}$

For $\theta = 30^{\circ}$ in right - triangle $QRS$, the side opposite the $30^{\circ}$ angle has length $5$ and the hypotenuse has length $10$.

Step3: Calculate $\sin(30^{\circ})$

Using the formula $\sin(30^{\circ})=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{5}{10}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$