From the top A of a vertical wall AB of height 30 ~m, the angles of depression of the top P and bottom Q of a vertical tower PQ are 15^(°) and 60^(°) respectively, B and Q are on the same horizontal level. If C is a point on AB such that CB=PQ, then the area (in m²) of the quadrilateral BCPQ is equal to:

Height and Distance: JEE Main 2023 Mathematics question

JEE Main 2023 · 6 Apr, Morning shift · Q3936

JEE Main 20236 Apr, Morning shiftMathematicsHardHeight and Distance38× since 2004

From the top

\mathrm{A}

of a vertical wall

\mathrm{AB}

of height

30 \mathrm{~m}

, the angles of depression of the top

\mathrm{P}

and bottom

\mathrm{Q}

of a vertical tower

\mathrm{PQ}

are

15^{\circ}

and

60^{\circ}

respectively,

\mathrm{B}

and

\mathrm{Q}

are on the same horizontal level. If

\mathrm{C}

is a point on

\mathrm{AB}

such that

\mathrm{CB}=\mathrm{PQ}

, then the area (in

\mathrm{m}^{2}

) of the quadrilateral

\mathrm{BCPQ}

is equal to :

JEE Main 2023 Height and Distance Question with Solution (6 Apr Morning shift, Q3936) | JEE Arc