Question

1. 48° 17 x

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, we know that \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 48^{\circ}\), the adjacent side to the \(48^{\circ}\) angle is \(17\), and the opposite side is \(x\). So, \(\tan48^{\circ}=\frac{x}{17}\).

Step2: Solve for \(x\)

We know that \(\tan48^{\circ}\approx1.1106\). Then, \(x = 17\times\tan48^{\circ}\). Substitute the value of \(\tan48^{\circ}\): \(x=17\times1.1106\).

$$x = 18.8802\approx18.9$$

Answer:

\(x\approx18.9\)