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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, $\boxed{5\sqrt{3}}$. 📰 When Did Judy Garland Die 7148603 📰 This Sims 4 Ui Cheats Extension Is Changing How Players Interact Try It Now 5537237 📰 The Ultimate Guide To Smart Casual Mens Fashion You Cant Miss 2344177 📰 Breaking Botz Holdings Hidden Empire Shocks The Investment World 671878 📰 The Ultimate Chicken Feeder Secret Thats Taking Farms By Storm Try It Today 6561624 📰 Acorns Vs Robinhood 957334 📰 Paul Gauguin Cruises 3202757 📰 Amy Askren 6563145 📰 Ty Bryan 9637842 📰 Jambase Secrets Exposed How This App Is Changing Music Experiences Forever 5923481 📰 Dont Miss This Asrt Stock Is About To Break 100Investors Urgently Need To Act Now 1993279 📰 Reftown The Hidden Secret That Will Blow Your Mind 8710766 📰 You Wont Believe Which Browser Games Will Blow Your Mindplay Now 3513684 📰 Average Median Income In The Us 7503599 📰 Mccarthy Movie Tammy 4075294