JEE Advanced Mathematics question

MathematicsSolution of TrianglesJEE Advanced

Not in JEE syllabus

The angle of elevation of the top of a vertical pole when observed from each vertex of a regular hexagon is . If the area of the circle circumscribing the hexagon be metre then the area of the hexagon is

Answer: (D)

Solution

Equal elevations from all vertices put the foot of the pole at the centre of the hexagon, at distance (circumradius) from each vertex. (The pole's height only fixes ; it is not needed for the ratio.)

A regular

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Question ID VK-108761