IF the whole earth is to be connected by line of sight communication using space wave (no restriction of antenna size or tower height) calculate the tower height of these antennas in terms of earth's radius and find the max no of antennas

 

In this special case onle two antenna s will have: 1. transmitter

2. reciever

and they would cover the whole earth,which is an impossible condition.

SQ2=SP2+PQ2=d2+h2from pythagoras theorem

here, angle POS=angle OSQ=90 as we know the radius is perpendicular to the tangent.

so it is impossible that only one reciever and one transmitter will be able to cover the whole surface area of the earth.