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A TV transmitting antenna is 125 m tall....

A TV transmitting antenna is 125 m tall. How much service area this transmitting antenna cover, if the receiving antenna is at the ground level? Radius of earth `= 6400 km`.

Text Solution

Verified by Experts

Here, `h = 125m`,
`R = 6400 km = 6.4 xx 10^6 m`
Area covered `= pid^2 = pi xx 2 h R [:. d = sqrt (2hR)]`
`= 3.14 xx 2 xx 125 xx 6.4 xx 10^6`
`5024 xx 10^6m^2 = 5024 km^2`
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