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Home » We now seek the smallest four-digit number divisible by both $36$ and $121$. - High Altitude Science

We now seek the smallest four-digit number divisible by both $36$ and $121$. - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Base = 5 m, hypotenuse = 13 m

📌 Height = \( \sqrt{13^2 - 5^2} = \sqrt{169 - 25} = \sqrt{144} = 12 \) m

📌 After sliding: base = 7 m

📌 New height = \( \sqrt{13^2 - 7^2} = \sqrt{169 - 49} = \sqrt{120} = 2\sqrt{30} \) m

📌 But \( 2\sqrt{30} \approx 10.95 \), so distance slid down:

📌 - 2\sqrt{30} \approx 12 - 10.95 = 1.05

📌 \Delta h = 12 - \sqrt{120} = 12 - 2\sqrt{30}

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