JEE Main 2019MathematicsHeights and DistancesMediumMCQ

JEE Main 2019 — Heights and Distances Question with Solution

JEE Main 2019 (09 Apr Shift 2)

Question

Two poles standing on a horizontal ground are of heights 5 m and 10 m respectively. The line joining their tops makes an angle of 15° with the ground. Then the distance (in m) between the poles, is

Choose an option

Show full solutionCorrect option: C
Correct answer
C52+3

Step-by-step explanation

Let, DC be the pole of height 5 m and AB be the pole of height 10 m.

Also, let DM⊥AB, then ACDM is a rectangle and hence, AM=DC=5 m and BM=AB-AM=10-5=5 m and the distance between the poles is AC=MD=K (let).


In ΔBDM
tan15°=BMMD=5K

⇒K=5tan15°

⇒K=53+13-1×3+13+1

⇒K=53+1+233-1

⇒K=52+3 m.

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 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.