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

Explanation

`d=sqrt(2Rh_(T))+sqrt(2Rh_(R))`
`d=sqrt(2xx6.4xx10^(6)xx32)+sqrt(2xx6.4xx10^(6)xx50)`
`=64xx10^(2)xxsqrt(10)+8xx10^(3)xxsqrt(10)m`
`=144xx10^(2)xxsqrt(10)m=45.5 km`