JEE Main 2019MathematicsHeights and DistancesMediumMCQ

JEE Main 2019 — Heights and Distances Question with Solution

JEE Main 2019 (12 Jan Shift 2)

Question

If the angle of elevation of a cloud from a point P which is 25m above a lake be 30o and the angle of depression of reflection of the could in the lake from P be 60o, then the height of the cloud (in meters) from the surface of the lake is :

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Show full solutionCorrect option: A
Correct answer
A50

Step-by-step explanation

tan⁡30o=x-25d

and tan⁡60o=x+25d

⇒tan⁡30otan⁡60o=x-25x+25⇒13=x-25x+25

⇒x+25=3x-75

⇒2x=100⇒x=50m

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About this question

This is a previous-year question from JEE Main 2019, 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.