1. Tardigrade
  2. Question
  3. Mathematics
  4. Two vertical poles are 150 m apart and the height of one is three times that of the other. If from the middle point of the line joining their feet, an observer finds the angles of elevation of their tops to be complementary, then the height of the shorter pole (in meters) is :

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Two vertical poles are $150 m$ apart and the height of one is three times that of the other. If from the middle point of the line joining their feet, an observer finds the angles of elevation of their tops to be complementary, then the height of the shorter pole (in meters) is :

JEE MainJEE Main 2021Trigonometric Functions

Solution:

image
$\tan \theta=\frac{ h }{75}=\frac{75}{3 h }$
$\Rightarrow h ^{2}=\frac{(75)^{2}}{3}$
$h =25 \sqrt{3} m$