Questions: 60° 6 x

Find \(x\) and \(y\). Find \(x\) We have a right triangle with hypotenuse 6 and angle 60°. Using cosine, we have \(\cos(60^\circ) = \frac{x}{6}\). Since \(\cos(60^\circ) = \frac{1}{2}\), we have \(x = 6 \cos(60^\circ) = 6(\frac{1}{2}) = 3\). Find \(y\) Using sine, we have \(\sin(60^\circ) = \frac{y}{6}\). Since \(\sin(60^\circ) = \frac{\sqrt{3}}{2}\), we have \(y = 6 \sin(60^\circ) = 6(\frac{\sqrt{3}}{2}) = 3\sqrt{3}\).

\(\boxed{x=3}\) \(\boxed{y=3\sqrt{3}}\)

\(\boxed{x=3}\) \(\boxed{y=3\sqrt{3}}\)