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Is it necessary for a transmitting antenna to be at the same height as that of the receiving antenna for line of sight communication? A TV transmitting antenna is \(81\ m\) tall. How much service area can it cover if the receiving antenna is at the ground level?

Answer

Line of sight communication means that there is no physical obstruction between the transmitter and the receiver. In such communications it is not necessary for the transmitting and receiving antennas to be at the same height.
Height of the given antenna, \(h=81\ m\)
Radius of Earth, \(R=6.\times 10^6\ m\)
For range, \(d=2\mathit{Rh}\)
The service area of the antenna is given by the relation:
\(A=2\pi d=\pi \left(2\mathit{Rh}\right)=3.14\times 2\times 6.4\times 10^6\times 81=3255.55\times 10^6\ m^2=3255.55\ m^2\)
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