QJEEM21Ma5a7e: JEE Main 2021 Mathematics - Class 12 JEEM21Ma5a7e Solution: A pole stands vertically inside a triangular park ABC. Let the…

Question

Verified Solution • 2025–26 Session moderate

A pole stands vertically inside a triangular park ABC. Let the angle of elevation of the top of the pole from each corner of the park be

\frac{π}{3}

. If the radius of the circumcircle of

Δ

ABC is 2, then the height of the pole is equal to :

Accepted Answer

Let PD = h, R = 2

As angle of elevation of top of pole from A, B, C are equal. So D must be circumcentre of

Δ

ABC

\tan (\frac{π}{3}) = \frac{P D}{R} = \frac{h}{R}

h = R \tan (\frac{π}{3}) = 2 \sqrt{3}

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