Propagation of electromagnetic waves

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Question

A TV tower has a height of 60 m. What is the maximum area up to which TV transmission can be received? $(Take radius of earth R = 6 .4 \times 10^{6} m)$

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Solution

$\begin{array}{l} distance covered d = \sqrt{2 Rh} \\ Area covered A = {πd}^{2} = 2 πRh \\ = 2 \times 3 .14 \times 6 .4 \times 10^{6} \times 60 \\ = 2411 {km}^{2} \end{array}$

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