Question

2)
find x round to the nearest tenth.
16.4
26.9
4.9
46.1

Explanation:

Step1: Use the tangent function

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 52^{\circ}\), the adjacent side is \(21\), and the opposite side is \(x\). So, \(\tan(52^{\circ})=\frac{x}{21}\).

Step2: Solve for \(x\)

We know that \(\tan(52^{\circ})\approx1.2799\). Then \(x = 21\times\tan(52^{\circ})\). Substitute \(\tan(52^{\circ})\approx1.2799\) into the equation: \(x=21\times1.2799 = 26.8779\approx26.9\).

Answer:

\(x = 26.9\)