If two towers of heights h₁ and h₂ subtend angles of 60° and 30° respectively at the mid-point of the line joining their feet, then h₁ : h₂ =

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MCQ (Single)Application of Trigonometry in Finding Heights

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The Statue of Unity situated in Gujarat is the world's largest Statue which stands over a 58 m high base. As part of the project, a student constructed an inclinometer and wishes to find the height of Statue of Unity using it. He noted following observations from two places : Situation – I : The angle of elevation of the top of Statue from Place A which is 80√3 m away from the base of the Statue is found to be 60°. Situation – II : The angle of elevation of the top of Statue from a Place B which is 40 m above the ground is found to be 30° and entire height of the Statue including the base is found to be 240 m. Based on given information, answer the following questions :

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An observer 1.8 m tall stands away from a chimney at a distance of 38.2 m along the ground. The angle of elevation of top of chimney from the eyes of observer is 45°. The height of chimney above the ground is

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