JEE Main 2022 Mathematics question
The angle of elevation of the top P of a vertical tower PQ of height 10 from a point A on the horizontal ground is 45°. Let R be a point on AQ and from a point B, vertically above R, the angle of elevation of P is 60°. If , AB = d and the area of the trapezium PQRB is , then the ordered pair (d, ) is
Answer: (1)
Solution
Let BR = x. In the right triangle ABR with , x = d/2. From B, the elevation of P is 60° and AQ = 10 (since the elevation from A is 45°): (10 − x)/(10 − , so , giving
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