JEE Main 2022MathematicsHeights and DistancesEasyMCQ

JEE Main 2022 — Heights and Distances Question with Solution

JEE Main 2022 (28 Jun Shift 1)

Question

Let AB and PQ be two vertical poles, 160m apart from each other. Let C be the middle point of B and Q, which are feet of these two poles. Let π8 and θ be the angles of elevation from C to P and A, respectively. If the height of pole PQ is twice the height of pole AB, then tan2θ is equal to

Choose an option

Show full solutionCorrect option: C
Correct answer
C3-224

Step-by-step explanation

From the given information in the question we can draw the following diagram

Let BC=CQ=x & AB=h and PQ=2h

So tanθ=hx and tanπ8=2 hx

⇒tanθtanπ8=12

⇒tanθ=122-1

⇒tan2θ=143-22

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About this question

This is a previous-year question from JEE Main 2022, 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.