Skip to main content
Back to Height and Distance
JEE Main 2021
Height and Distance
Height and Distance
Easy

Question

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 :

Options

Solution

∴\therefore tan⁡(90−θ)=x75\tan (90 - \theta ) = {x \over {75}} and tan⁡θ=3x75\tan \theta = {{3x} \over {75}} As cot⁡θ.tan⁡θ=1\cot \theta .\tan \theta = 1 ∴\therefore x75.3x75=1{x \over {75}}.{{3x} \over {75}} = 1 ⇒x=253\Rightarrow x = 25\sqrt 3

Previous QuestionNext Question

Practice More Height and Distance Questions

View All Questions