JEE Main 2008 Mathematics question

MathematicsSolution of TrianglesJEE Main 2008

Not in JEE syllabus

AB is a vertical pole with B at the ground level and A at the top. A man finds that the angle of elevation of the point A from a certain point C on the ground is 60°. He moves away from the pole along the line BC to a point D such that CD = 7 m. From D the angle of elevation of the point A is 45°. Then the height of the pole is

Answer: (2)

Solution

Let BC = x, height h: and . So

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Question ID VK-039090