JEE Main 2022 Mathematics question

MathematicsTrigonometric Ratio and IdentitiesJEE Main 2022

Let AB and PQ be two vertical poles, 160 m apart from each other. Let C be the middle point of B and Q, which are feet of these two poles. Let and be the angles of elevation from C to P and A, respectively. If the height of pole PQ is twice the height of pole AB, then is equal to

Answer: (3)

Solution

Let and , with BC = CQ = 80 m. Then and . So $ θ

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Question ID VK-034974