Question

question 8
what is the value of x
18
30°
y

Explanation:

Step1: Recall the sine function in a right - triangle

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\). Here, \(\theta = 30^{\circ}\), the opposite side to the \(30^{\circ}\) angle is \(x\), and the hypotenuse is \(18\).

Step2: Apply the sine formula

We know that \(\sin30^{\circ}=\frac{x}{18}\). Since \(\sin30^{\circ}=\frac{1}{2}\), we have the equation \(\frac{1}{2}=\frac{x}{18}\).

Step3: Solve for \(x\)

Cross - multiply: \(x = 18\times\frac{1}{2}\).

Answer:

\(x = 9\)