Question

what is the correct equation? sin 40 = 28/w cos 40 = w/28 sin 40 = w/28 tan 40 = w/28

Explanation:

Step1: Recall the sine formula

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

Step2: Identify the sides relative to the \(40^{\circ}\) angle

The side opposite the \(40^{\circ}\) angle is \(w\), and the hypotenuse is \(28\) cm.

Step3: Apply the sine formula

Substituting into \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\), we get \(\sin40^{\circ}=\frac{w}{28}\).

Answer:

\(\sin40^{\circ}=\frac{w}{28}\) (the orange - colored option)