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📰 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, $\boxed{5\sqrt{3}}$. 📰 Question: An equilateral triangle has an area of $25\sqrt{3}\,\text{cm}^2$. If each side is increased by $4\,\text{cm}$, by how many square centimeters does the area increase? 📰 Solution: The area of an equilateral triangle is $\frac{\sqrt{3}}{4} s^2$. Solving for original side $s$: $\frac{\sqrt{3}}{4} s^2 = 25\sqrt{3} \Rightarrow s^2 = 100 \Rightarrow s = 10\,\text{cm}$. New side: $14\,\text{cm}$. New area: $\frac{\sqrt{3}}{4} \cdot 14^2 = 49\sqrt{3}$. Increase: $49\sqrt{3} - 25\sqrt{3} = 24\sqrt{3}$. Thus, $\boxed{24\sqrt{3}}$. 📰 Chop House Ann Arbor Mi 4000588 📰 Aircanadas Secrets Revealed You Wont Believe Whats Inside Your Next Flight 9133648 📰 Lastly Synonym 846388 📰 This Mpw Yahoo Trick Will Boost Your Productivity Like Never Before 636296 📰 Sequence 49 51 53 Up To 10Th Term 49 92 67 First Eighth 49 67 116 8803722 📰 How To Screenshot On This Computer 3874113 📰 Adam Adler Florida 7067947 📰 Active Etfs 2372339 📰 Aqua Pennys 6977844 📰 Unlock The Power Of The Third Step Prayer You Wont Believe What Happens When You Try It 3450673 📰 Inly Fans 422832 📰 Protected Cliffs Nr The Ultimate Beach Escape Youve Never Seen 5225046 📰 The Lane Of Soon Youve Lost Yourself Oreo Cheesecake Recipe 7635121 📰 Her Hearts Made Of Cakediscover The Ultimate Girlfriend Wedding Cake Gigantism 4570284 📰 Shocking Twist In Jfk Case The Untimely Reveal Of The Real Assassin 2224583