What should be the height of a transmission a | vedclass

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(B) The range $d$ of a transmission antenna of height $h$ is given by the formula $d = \sqrt{2Rh}$,where $R$ is the radius of the Earth.Given: $d = 12

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$1280$

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(B) The range $d$ of a transmission antenna of height $h$ is given by the formula $d = \sqrt{2Rh}$,where $R$ is the radius of the Earth.Given: $d = 128 \, km = 128 	imes 10^3 \, m$ and $R \approx 6.4 	imes 10^6 \, m$.Squaring both sides,we get $d^2 = 2Rh$.Rearranging for $h$,we get $h = \frac{d^2}{2R}$.Substituting the values: $h = \frac{(128 	imes 10^3)^2}{2 	imes 6.4 	imes 10^6}$.$h = \frac{128 	imes 128 	imes 10^6}{12.8 	imes 10^6} = \frac{16384}{12.8} = 1280 \, m$.

What should be the height of a transmission antenna (in $m$) to cover a range of $128 \, km$?

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