Question

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 $\times {10}^6$m.

• A. 40 km
• B. 44 km
• C. 45.5 km
• D. 48.5 km

Answer 1

The correct option is C 45.5 km

$\sqrt{2\times 64\times {10}^5\times 32}+\sqrt{2\times 64\times {10}^5\times 50}$ = 64 $\times$ 10^2 $\times$ $\sqrt{10}$ + 8 $\times$ 10^3 $\times$ $\sqrt{10}$m = 144 $\times$ 10^2 $\times$ $\sqrt{10}$= 45.5 km