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BC = 12 m Height of the tree = AB + AC Tan 30° = AB/12 ⇒ (1/√3) = AB/12 ⇒ AB = (12/√3) Cos 30° = BC/AC = 12/AC ⇒ √3/2 = 12/AC ⇒ AC = 24/√3 Hence, AB + AC = 12/√3 + 24/√3 = 36/√3 ⇒ 36/√3 × √3/√3 (rationalizing to remove root from denominator) ⇒ 36√3/3 = 12√3 ∴ Height of the tree = 12√3 m
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