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Home » 3) Dixie Kong’s Forgotten Legacy Revealed – You Won’t Believe Her Hidden Gems! - Londonproperty

3) Dixie Kong’s Forgotten Legacy Revealed – You Won’t Believe Her Hidden Gems! - Londonproperty

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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📌 where $ R = \sqrt{4^2 + 3^2} = \sqrt{16 + 9} = \sqrt{25} = 5 $

📌 So the maximum height is $ \boxed{5} $.

📌 To find the time at which this maximum occurs, we use:

📌 \tan\phi = \frac{3}{4} \Rightarrow \phi = \arctan\left(\frac{3}{4}\right)

📌 The maximum of $ \sin(\cdot) $ occurs when its argument is $ \frac{\pi}{2} $, so:

📌 \frac{\pi}{6}t + \phi = \frac{\pi}{2} \Rightarrow t = \frac{\frac{\pi}{2} - \phi}{\frac{\pi}{6}} = \frac{6}{\pi} \left( \frac{\pi}{2} - \arctan\left(\frac{3}{4}\right) \right)

📌 Using $ \arctan\left(\frac{3}{4}\right) \approx 0.6435 $ radians:

📌 t \approx \frac{6}{\pi} \left( \frac{\pi}{2} - 0.6435 \right) \approx \frac{6}{\pi} (1.5708 - 0.6435) = \frac{6}{\pi} (0.9273) \approx 1.77 \text{ hours}

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