Two identical antennas on identical towers are separated from each other by a distance of 45 km. What should be the minimum height of receiving antenna to receive the signals in line of sight? (Assume radius of earth is 6400 km)
Two identical antennas on identical towers are separated from each other by a distance of 45 km. What should be the minimum height of receiving antenna to receive the signals in line of sight? (Assume radius of earth is 6400 km)
Option 1 -
79.1m
Option 2 -
19.77m
Option 3 -
39.55m
Option 4 -
158.2m
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1 Answer
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Correct Option - 3
Detailed Solution:d = √ (2hT R) + √ (2hR R) = 2√ (2hR) (assuming towers are identical)
h = d²/ (8R) = (45×10³)²/ (8×6400×10³) ≈ 39.55 m
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