Question

5)
49°
x
12.2

Explanation:

Step1: Use the tangent function

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 49^{\circ}\), the opposite side is \(14\), and the adjacent side is \(x\). So, \(\tan49^{\circ}=\frac{14}{x}\).

Step2: Solve for \(x\)

We can rewrite the equation as \(x=\frac{14}{\tan49^{\circ}}\). Since \(\tan49^{\circ}\approx1.150368\), then \(x=\frac{14}{1.150368}\approx12.2\).

Answer:

\(x\approx12.2\)