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A TV tower has a height \(160 \mathrm{~m}\). Its coverage range is nearly (Earth's radius, \(R_e=6400 \mathrm{~km}\))
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Verified Answer
The correct answer is:
\(45255 \mathrm{~m}\)
Given, height of a TV tower, \(h=160 \mathrm{~m}\)
Radius of earth, \(R=6400 \mathrm{~km}=6.4 \times 10^6 \mathrm{~m}\)
Coverage range of TV tower is given by
\(d=\sqrt{2 R h}=\sqrt{2 \times 6.4 \times 10^6 \times 160}=45254.8=45255 \mathrm{~m}\)
Radius of earth, \(R=6400 \mathrm{~km}=6.4 \times 10^6 \mathrm{~m}\)
Coverage range of TV tower is given by
\(d=\sqrt{2 R h}=\sqrt{2 \times 6.4 \times 10^6 \times 160}=45254.8=45255 \mathrm{~m}\)
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