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 P Q are 15^{\circ} and 60^{\circ} 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 {\m}^2 ) of the quadrilateral {\BCPQ} is equal to : [6-Apr-2023 shift 1]

Correct Answer is : 600(√3−1)

JEE Mains 6-Apr-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 14 of 90

Marks: +1, -0

From the top A of a vertical wall AB of height 30m, 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 :

[6-Apr-2023 shift 1]

200(3−√3)
300(√3+1)
300(√3−1)
600(√3−1)

Validate

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