Question

3 which ratio represents sinx in the right triangle shown below? 1) 28/53 2) 28/45 3) 45/53 4) 53/28

Explanation:

Step1: Recall the sine ratio formula

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\).

Step2: Identify the opposite side and hypotenuse for angle \(x\)

For angle \(x\), the side opposite to \(x\) is \(28\), and the hypotenuse is \(53\).

Step3: Calculate \(\sin x\)

Using the formula \(\sin x=\frac{\text{opposite}}{\text{hypotenuse}}\), we get \(\sin x = \frac{28}{53}\).

Answer:

1. \(\frac{28}{53}\)