A transmitting antenna at the top of a tower has a height 32 m and the height of the receiving antenna is 50 m . What is the maximum distance between them for satisfactory communication in LOS mode ? Given radius of earth `6.4 xx 10^(6) `m .

Explanation

`d_(m) = sqrt(2 Rh_(T)) + sqrt(2 Rh_(R))`
`d_(m) = sqrt(2 xx 64 xx 10^(5) xx 32) + sqrt(2 xx 64 xx 10^(5) xx 50 m)`
`= 64 xx 10^(2) xx sqrt(10) + 8 xx 10^(3) xx sqrt(10) m = 144 xx 10^(2) xx sqrt(10) m = 45.5` km .