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  • If the height of transmitting and receiving antennas are 80 m each, the maximum line of sight distance will be: Given: Earth's radius = 6.4 × 106 m  <div

If the height of transmitting and receiving antennas are 80 m each, the maximum line of sight distance will be:
Given: Earth's radius = 6.4 × 106 m
 

Option: 1

28 km 


Option: 2

36 km 


Option: 3

32 km 


Option: 4

64 km


Answers (1)

best_answer

hT = hR = h = 80 m

\begin{aligned} & \mathrm{d}_{\mathrm{T}}=\sqrt{2 \mathrm{R} \cdot \mathrm{h}} \text { and } \mathrm{d}_{\mathrm{R}}=\sqrt{2 \mathrm{R} \cdot \mathrm{h}} \\ & \text { Maximum line of sight }=\mathrm{d}_{\mathrm{T}}+\mathrm{d}_{\mathrm{R}} \\ & =\sqrt{2 \mathrm{Rh}}+\sqrt{2 \mathrm{Rh}} \\ & =2 \sqrt{2 \mathrm{Rh}}=2 \sqrt{2 \times 6.4 \times 10^6 \times 80} \\ & =2 \sqrt{64 \times 16 \times 10^6} \\ & =2 \times 8 \times 4 \times 10^3 \\ & =64 \times 10^3=64 \mathrm{~km} \end{aligned}

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avinash.dongre

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