If the sum of the heights of transmitting and receiving antennas in the line of sight of communication is fixed at 160 m , then the maximum range of LOS communication is _______ km (Take radius of Earth = 6400 km )

Step-by-step solution

h r + h t = 160 (Given) LOS = 2 R h r + h t LOS = 2 R h r + 160 - h r dLOS d h r = 0 = 2 R 1 2 h r - 1 2 160 - h r = 0 h r = h t = 80   m LOS = 2 R ( 80 + 80 ) = 2 2 × 6400 × 10 3 × 80 = 64   km