Mathematics · 2022
JEE Main · 27 July 2022, Shift 2 · Q18
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…
The angle of elevation of the top P of a vertical tower PQ of height $\displaystyle 10$ from a point A on the horizontal ground is $\displaystyle 45$°. Let R be a point on AQ and from a point B, vertically above R, the angle of elevation of P is $\displaystyle 60$°. If $\displaystyle \angle \mathrm{BAQ}=30^{\circ}, \mathrm{AB}=\mathrm{d}$ and the area of the trapezium PQRB is $\displaystyle \alpha$, then the ordered pair $\displaystyle (\mathrm{d}, \alpha)$ is :
Official answer
(1)
$\displaystyle (10(\sqrt{3}-1), 25)$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.