Two vertical poles are \( 150 \mathrm{~m} \) apart and height of one is three times that of other. If from the middle po…

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

[JEE Main 2021, 24 Feb (Shift 1)]