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Heights of transmitting and receiving an...

Heights of transmitting and receiving antennas from earth surface are `h_(T)` and `h_(R)` respectively. Write the relation for maximum line-of-sight (LOS) distance two antennas.

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If the transmitting antenna is at a height `h_(T)`, then you can show that the distance to the horizontal `d_(T)` is given as `d_(T)=sqrt(2Rh_(T))`, where `R` is the radius of the earth (approximately 6400 km) `d_(T)` is also called the radio horizon of the transmitting antenna. With reference to figure above the maximum line-of-sight distance `d_(M)` between the two antennas having height `h_(T)` and `h_(R)` above the earth is given by
`d_(M) = sqrt(2Rh_(T)) + sqrt(2Rh_(R))`
where `h_(R)` is the height of receiving antenna.
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