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