JEE Main 2022MathematicsHeights and DistancesEasyMCQ

JEE Main 2022 — Heights and Distances Question with Solution

JEE Main 2022 (29 Jun Shift 2)

Question

From the base of a pole of height 20 meter, the angle of elevation of the top of a tower is 60°. The pole subtends an angle 30° at the top of the tower. Then the height of the tower is:

Choose an option

Show full solutionCorrect option: D
Correct answer
D30

Step-by-step explanation

Plotting the diagram we get,

In ∆ABD

tan60°=20+yx     ...i

In ∆AEC

tan30°=yx    ...ii

From equation (i) & (ii),(i) (ii)  we get, tan60°tan30°=20+yy⇒31/3=20+yy

⇒20+yy=3⇒y=10

So, height of tower =20+y=30 m

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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.