Question

x 60° 26√2

Explanation:

Step1: Use trigonometric ratio

In a right - angled triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 60^{\circ}\), the opposite side is \(x\) and the adjacent side is \(26\sqrt{2}\).
\(\tan60^{\circ}=\frac{x}{26\sqrt{2}}\)

Step2: Substitute the value of \(\tan60^{\circ}\)

Since \(\tan60^{\circ}=\sqrt{3}\), we have \(\sqrt{3}=\frac{x}{26\sqrt{2}}\)

Step3: Solve for \(x\)

Multiply both sides by \(26\sqrt{2}\): \(x = 26\sqrt{2}\times\sqrt{3}=26\sqrt{6}\)

Answer:

\(x = 26\sqrt{6}\)