A horizontal park is in the shape of a triangle {\OAB} with {\AB}=16. A vertical lamp post {\OP} is erected at the point {\O} such that \angle {\PAO}=\angle {\PBO}=15^{\circ} and \angle {\PCO}=45^{\circ}, where {\C} is the midpoint of {\AB}. Then ( {\OP})^2 is equal to [28-Jul-2022-Shift-2]

Correct Answer is : 32√3(2−√3)

JEE Mains 28-July-2022 Shift 2 Solved Paper

Section: Mathematics

Question : 18 of 90

Marks: +1, -0

A horizontal park is in the shape of a triangle OAB with AB=16. A vertical lamp post OP is erected at the point O such that ∠PAO=∠PBO=15∘ and ∠PCO=45∘, where C is the midpoint of AB. Then (OP)2 is equal to

[28-Jul-2022-Shift-2]

‌
32
√3
(√3−1)
‌
32
√3
(2−√3)
‌
16
√3
(√3−1)
‌
16
√3
(2−√3)

Validate

Go to Question:

Prev Question

Next Question