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  • A TV transmitting antenna is  high and the receiving antenna is at the ground level. If the radius of the

A TV transmitting antenna is 98 m high and the receiving antenna is at the ground level. If the radius of the
earth is 6400 km , the surface area covered by the transmitting antenna is approximately:

Option: 1

1240 km^{2}


Option: 2

1549 km^{2}


Option: 3

4868 km^{2}


Option: 4

3942 km^{2}


Answers (1)

best_answer

Max. distance covered \mathrm{d}=\sqrt{2 \mathrm{Rh}_{\mathrm{T}}}

(R = radius of earth, h_T = height of antenna)
Area A = \pi d^{2}

Area \mathrm{A}=\pi \mathrm{d}^2 \begin{aligned} & \mathrm {A}=\pi\left(2 \mathrm{Rh}_{\mathrm{T}}\right) \\ & \mathrm{A}=2 \times 3.14 \times 6400 \times 98 \times 10^{-3} \\ & \mathrm{~A} \approx 3942 \mathrm{~km}^2 \end{aligned}

 

Posted by

Devendra Khairwa

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