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Home » \[ H = \frac(v_0^2 \sin^2 \theta)2g \] - Dachbleche24

\[ H = \frac(v_0^2 \sin^2 \theta)2g \] - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 The product of the roots \( \frac{c}{a} = 3 \times (-2) = -6 \), so \( c = -6 \).

📌 The values are \( b = -1 \) and \( c = -6 \).

📌 #### -1, -6

📌 A ladder is leaning against a wall, forming a right triangle with the ground. The ladder is 13 meters long and reaches a point 12 meters up the wall. How far is the bottom of the ladder from the wall?

📌 By the Pythagorean theorem, \( \text{hypotenuse}^2 = \text{base}^2 + \text{height}^2 \).

📌 Let \( d \) be the distance from the wall: \( 13^2 = d^2 + 12^2 \).

📌 = d^2 + 144 \\

📌 d^2 = 25 \\

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