Question

question solve for k and w. answer attempt 1 out of 3 k = w =

Explanation:

Step1: Use tangent function for k

\(\tan(30^{\circ})=\frac{k}{8}\), so \(k = 8\times\tan(30^{\circ})\). Since \(\tan(30^{\circ})=\frac{\sqrt{3}}{3}\), then \(k=\frac{8\sqrt{3}}{3}\).

Step2: Use cosine function for w

\(\cos(30^{\circ})=\frac{8}{w}\), so \(w=\frac{8}{\cos(30^{\circ})}\). Since \(\cos(30^{\circ})=\frac{\sqrt{3}}{2}\), then \(w=\frac{16\sqrt{3}}{3}\).

Answer:

\(k=\frac{8\sqrt{3}}{3}\), \(w = \frac{16\sqrt{3}}{3}\)