JEE Main 2020MathematicsHeights and DistancesEasyMCQ

JEE Main 2020 — Heights and Distances Question with Solution

JEE Main 2020 (04 Sep Shift 1)

Question

Two vertical poles AB=15 m and CD=10 m  are standing apart on a horizontal ground with points A and C on the ground. If P is the point of intersection of BC and AD, then the height of P (in m ) above the line AC is :

Choose an option

Show full solutionCorrect option: D
Correct answer
D6

Step-by-step explanation

ΔAQP~ΔACD

⇒ xh=x+y10   ...1

∵ ΔCQP~ΔCAB

⇒yh=x+y15   ....2

Adding 1 & 2, we get

x+yh=x+y110+115

⇒ h=6.

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About this question

This is a previous-year question from JEE Main 2020, 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.