Question

1. find the value of x.

Explanation:

Step1: Use trigonometric ratio (tangent)

In a right - triangle \(ABC\) with \(\angle B = 90^{\circ}\), \(\tan C=\frac{AB}{BC}\). Given \(BC = 8\), \(\angle C=50^{\circ}\), and \(AB = x\).

Step2: Calculate \(x\)

Since \(\tan C=\frac{x}{8}\), and \(\tan50^{\circ}\approx1.19175\), then \(x = 8\times\tan50^{\circ}\).
\(x\approx8\times1.19175 = 9.534\)

Answer:

\(x\approx9.53\)