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let,the poles be AB awnd CD
now,AB=a,
DC=b
separation(PC)=p
now
from the figure
EF is the required height
here
since EF is the height ,,so it will perpendicular to BC
also
AB is perpendicular to BC
so,BY corresponding angle property we can say
EF//AB
so,in triangle ABC,EF is a line which is parallel to one if it's side
by mid-point theorem
EF=AB/2=2/a
similarly
EF//CD
so
EF=CD/2=2/b
adding both
2EF=2(a+b)/ab
EF=(a+b)/ab
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