Question
Question: A transmitting antenna at the top tower has a height 18 m and the height of the receiving antenna is...
A transmitting antenna at the top tower has a height 18 m and the height of the receiving antenna is 32 m. The maximum distance between them for satisfactory communication in line of sight mode is (Radius of earth = 6.4 x 106 m)
A
15.15 km
B
21.25 km
C
30.45 km
D
35.42 km
Answer
35.42 km
Explanation
Solution
: Here hT=10m,hR=32m
R=6.4×106m=64×105m
The maximum line of single distance
dm=2RhT+2RhR
=2×64×105×18+2×64×105×32
=48×10210+64×10210
=112×102×10m
=35417.5m=35.42km