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📰 Solution: By definition, $\tan \theta = \frac{\text{opposite}}{\text{adjacent}}$. Substituting the given values, $\tan 30^\circ = \frac{1}{\sqrt{3}}$. Rationalizing the denominator, $\frac{1}{\sqrt{3}} = \frac{\sqrt{3}}{3}$. Thus, $\boxed{\dfrac{\sqrt{3}}{3}}$. 📰 Question: A sundial's gnomon casts a shadow of length $5\,\text{cm}$ when the sun's elevation angle is $60^\circ$. What is the height of the gnomon? 📰 Solution: Using $\tan(60^\circ) = \frac{\text{height}}{\text{shadow length}}$, we substitute $\tan(60^\circ) = \sqrt{3}$ and shadow length $5\,\text{cm}$. Solving for height: $\text{height} = 5 \cdot \sqrt{3}$. Thus, $\boxed{5\sqrt{3}}$. 📰 Novo Nordisk Layoffs 1812850 📰 All Out Breakthrough You Wont Believe What Happened Next 5941204 📰 Budgeting And Saving 5333933 📰 Extend Pc Screen 9465494 📰 Helldivers 2 Companion 7957273 📰 Fourchette Piercing Secrets Everyones Trying To Hide 5133193 📰 Whats The Minimum Income To Survive Americas Poverty Level Explained In Staggering Detail 5871220 📰 City Of Queenstown 8534049 📰 Rock Springs Baptist Church In Easley 2950069 📰 The Hottest Phone Games Everyone Is Scrolling To Watch Next Play Must Be This 5684405 📰 Chatgpt Price 8159874 📰 Loggers Golf Course Mn 9503440 📰 You Wont Believe Which Mythical Creatures Are Still Alive Today 3855618 📰 Aaron Rogers Age 6516159 📰 Marty Supreme Streaming 3714353