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:

Height and Distance: JEE Main 2022 Mathematics question

JEE Main 2022 · 28 Jul, Evening shift · Q3933

JEE Main 202228 Jul, Evening shiftMathematicsHardHeight and Distance38× since 2004

A horizontal park is in the shape of a triangle

\mathrm{OAB}

with

\mathrm{AB}=16

. A vertical lamp post

\mathrm{OP}

is erected at the point

\mathrm{O}

such that

\angle \mathrm{PAO}=\angle \mathrm{PBO}=15^{\circ}

and

\angle \mathrm{PCO}=45^{\circ}

, where

\mathrm{C}

is the midpoint of

\mathrm{AB}

. Then

(\mathrm{OP})^{2}

is equal to :

JEE Main 2022 Height and Distance Question with Solution (28 Jul Evening shift, Q3933) | JEE Arc