Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is $60^{\circ}$ and when he retires 40 meter away from the tree the angle of elevation becomes $30^{\circ}$. The breadth of the river is
MathematicsHeights and DistancesJEE MainJEE Main 2004
Options:
  • A
    $20 \mathrm{~m}$
  • B
    $30 \mathrm{~m}$
  • C
    $40 \mathrm{~m}$
  • D
    $60 \mathrm{~m}$
Solution:
2137 Upvotes Verified Answer
The correct answer is:
$20 \mathrm{~m}$
$\tan 30^{\circ}=\frac{h}{40+b}$
$\Rightarrow \sqrt{3} h=40+b$
$\tan 60^{\circ}=h / b \Rightarrow h=\sqrt{3} b$
$\Rightarrow b=20 m$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.