Question

find the length of side x to the nearest tenth.
answer
x =

Explanation:

Step1: Use the tangent function

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 60^{\circ}\), the opposite side is \(x\), and the adjacent side is \(8\). So, \(\tan60^{\circ}=\frac{x}{8}\).

Step2: Solve for \(x\)

Since \(\tan60^{\circ}=\sqrt{3}\approx1.732\), we have \(x = 8\times\tan60^{\circ}\). Substituting the value of \(\tan60^{\circ}\), \(x=8\times1.732 = 13.856\approx13.9\)

Answer:

\(13.9\)