A transmitting antenna at the top of a tower has a height 320 m, the height of the receiving antenna is 150 m. What is the maximum distance between them for satisfactory communication in LOS mode? (taking radius of earth $6.4 \times 10^6 m$)

107.8 km

The correct answer is Option (4) → 107.8 km

To calculate the maximum distance (d) in LOS mode is -

$d=\sqrt{2h_1R}+\sqrt{2h_2R}$

$=\sqrt{2×320×6.4×10^6}+\sqrt{2×150×6.4×10^6}$

$≃64,000m+43,800m$

$≃107,800m$

$≃107.8km$