JEE Main 2019MathematicsHeights and DistancesMediumMCQ

JEE Main 2019 — Heights and Distances Question with Solution

JEE Main 2019 (12 Apr Shift 2)

Question

The angle of the top of a vertical tower standing on a horizontal plane is observed to be 45° from a point A on the plane. Let B be the point 30 m vertically above the point A. If the angle of elevation of the top of the tower from B be 30° , then the distance (in m) of the foot of the tower from the point A is:

Choose an option

Show full solutionCorrect option: A
Correct answer
A153+3

Step-by-step explanation


tan45o=1=x+30y⇒x+30=y ......(i)
tan30o=13=xy⇒x=y3 ......(ii)
from (i) and (ii) y=153+3

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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.