Question:medium
If the height of a transmitting antenna is \(45\,\mathrm{m}\) and the height of the receiving antenna is \(H\), then the maximum line-of-sight distance between the two antennas is \(1\%\) of the radius of the earth. If the radius of the earth is \(6400\,\mathrm{km}\), then the value of \(H\) is
If the height of a transmitting antenna is \(45\,\mathrm{m}\) and the height of the receiving antenna is \(H\), then the maximum line-of-sight distance between the two antennas is \(1\%\) of the radius of the earth. If the radius of the earth is \(6400\,\mathrm{km}\), then the value of \(H\) is
Show Hint
The maximum line-of-sight distance between two antennas is
\[
\boxed{
d=\sqrt{2Rh_1}+\sqrt{2Rh_2}
}
\]
where all distances are in the same units.
Updated On: Jul 15, 2026
- \(125\,\mathrm{m}\)
- \(75\,\mathrm{m}\)
- \(90\,\mathrm{m}\)
- \(150\,\mathrm{m}\)
Show Solution
The Correct Option is A
Solution and Explanation
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