Question

find the missing side.
41° 15 x = ?

Explanation:

Step1: Identify trigonometric ratio

We have a right triangle with angle \(41^\circ\), adjacent side \(15\), and opposite side \(x\). Use tangent: \(\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}\).
\(\tan(41^\circ)=\frac{x}{15}\)

Step2: Solve for \(x\)

Multiply both sides by \(15\): \(x = 15\times\tan(41^\circ)\)
Calculate \(\tan(41^\circ)\approx0.8693\), so \(x\approx15\times0.8693\)
\(x\approx13.04\)

Answer:

\(x\approx13.04\) (or more precise value depending on calculator precision)