Question

which trig function would be used to solve for x? cosine sine tangent

Explanation:

Step1: Recall trigonometric ratios

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\), \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\), \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\).
For the given angle of \(72^{\circ}\), the side \(x\) is adjacent to the \(72^{\circ}\) angle and the hypotenuse is \(8\).

Answer:

Cosine