JEE Main 2021MathematicsHeights and DistancesMediumMCQ

JEE Main 2021 — Heights and Distances Question with Solution

JEE Main 2021 (18 Mar Shift 2)

Question

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 π3. If the radius of the circumcircle of ΔABC is 2, then the height of the pole is equal to :

Choose an option

Show full solutionCorrect option: B
Correct answer
B23

Step-by-step explanation

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 ΔABC

tanπ3=PDR=hR

h=Rtanπ3=23

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Heights and Distances chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2021, covering the Heights and Distances chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.