For VHF signal broadcasting, ___________ km\(^2\) of maximum service area will be covered by an antenna tower of height 30 m, if the receiving antenna is placed at ground. Let radius of the earth be 6400 km. (Round off to the Nearest Integer) (Take \(\pi\) as 3.14)
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Correct Answer: 1206
Solution and Explanation
Area covered \(=\pi d^2=2\pi Rh\).
With R = 6400 km, h = 30 m = 0.03 km: \(A=2\times3.14\times6400\times0.03=3.14\times384=1205.76\ \mathrm{km^2}\approx1206\ \mathrm{km^2}\).
Answer: 1206
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