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Let the two cars be at points C and D. That is distance between the cars, CD = 100 m Let BD = d Hence BC = (100 – x) m Let the height of the balloon be AB = ‘h’ m In right ΔABD, θ = 45° In right ΔABC, θ = 60° ⇒ 100√3 – √3h = h ⇒ 100√3 = √3h + h = h(√3 + 1) ∴ h = 50√3(√3 + 1) m
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