Height and Distance: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jul, Evening shift · Q3932

JEE Main 202227 Jul, Evening shiftMathematicsHardHeight and Distance38× since 2004

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^{\circ}

. Let R be a point on AQ and from a point B, vertically above

\mathrm{R}

, the angle of elevation of

\mathrm{P}

60^{\circ}

. If

\angle \mathrm{BAQ}=30^{\circ}, \mathrm{AB}=\mathrm{d}

and the area of the trapezium

\mathrm{PQRB}

\alpha

, then the ordered pair

(\mathrm{d}, \alpha)

is :

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