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Home » Time = distance ÷ speed = 480 ÷ 12 = 40 seconds. - Decision Point

Time = distance ÷ speed = 480 ÷ 12 = 40 seconds. - Decision Point

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 The general solution for $ \cos \phi = \frac{\sqrt{3}}{2} $ is:

📌 \phi = 30^\circ + 360^\circ k \quad \text{or} \quad \phi = 330^\circ + 360^\circ k, \quad k \in \mathbb{Z}

📌 Since $ \phi = 3\theta $, we substitute:

📌 3\theta = 30^\circ + 360^\circ k \quad \Rightarrow \quad \theta = 10^\circ + 120^\circ k

📌 3\theta = 330^\circ + 360^\circ k \quad \Rightarrow \quad \theta = 110^\circ + 120^\circ k

📌 We now find all $ \theta \in [0^\circ, 360^\circ] $ by plugging integer values of $ k $.

📌 For $ \theta = 10^\circ + 120^\circ k $:

📌 $ k = 0 $: $ 10^\circ $

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