JEE Main 2020MathematicsHeights and DistancesEasyMCQ

JEE Main 2020 — Heights and Distances Question with Solution

JEE Main 2020 (04 Sep Shift 2)

Question

The angle of elevation of a cloud C from a point P,200 m above a still take is 30o. If the angle of depression of the image of C in the lake from the point P is 60o, then PC (in m) is equal to

Choose an option

Show full solutionCorrect option: C
Correct answer
C400

Step-by-step explanation

 

tan30°=xy=13⇒y=3x and 

tan60°=x+400y

So, x+400=3y=3x

2x=400, x=200

sin30°=200PC⇒PC=400 

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Heights and Distances chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

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.