JEE Main 2022MathematicsHeights and DistancesEasyMCQ

JEE Main 2022 — Heights and Distances Question with Solution

JEE Main 2022 (25 Jul Shift 1)

Question

A tower PQ stands on a horizontal ground with base Q on the ground. The point R divides the tower in two parts such that QR=15m. If from a point A on the ground the angle of elevation of R is 60° and the part PR of the tower subtends an angle of 15° at A, then the height of the tower is 

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Show full solutionCorrect option: A
Correct answer
A523+3m

Step-by-step explanation

Plotting the diagram of the given values we get,

From the right triangle RQS,

tan60°=15a

a=153=53

In right triangle PQS,

tan75°=ha

⇒h53=2+3

⇒h=103+15

⇒h=523+3

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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.