Question

name ---------- solve for x in each problem. start box and work your way through the maze u 19/0m→ x 43° 13 12.7 ← 13.9→ 12.6 13.8→

Explanation:

Step1: Identify trigonometric ratio

We have a right triangle with an angle of \(43^\circ\), the adjacent side to the angle is \(x\), and the opposite side is \(13\). We use the tangent function, which is \(\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}\). So \(\tan(43^\circ)=\frac{13}{x}\).

Step2: Solve for \(x\)

Rearrange the formula to solve for \(x\): \(x = \frac{13}{\tan(43^\circ)}\). We know that \(\tan(43^\circ)\approx0.9325\). Then \(x=\frac{13}{0.9325}\approx13.9\).

Answer:

\(x\approx13.9\)