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A transmitting antenna has a height 30m...

A transmitting antenna has a height 30m and that of the receiving atenna is 52 m . What is the maximum distance between them for satisfactory communication in line of sight mode ? Given , radius of earth is `6.4xx10^(6) `m .

A

45. 4 km

B

44. 5 km

C

36.3 km

D

33.6 km

Text Solution

Verified by Experts

The correct Answer is:
A
Here , `h_(T)=30 m , h_(R)=52 m , R=6.4xx10^(6) m `
` d_(M)=sqrt(2Rh_(T))+sqrt(2Rh_(r))`
`=sqrt( 2 xx 6.4 xx 10^(6) xx 30)+ sqrt( 2 xx 6. 4 xx 10^(6) xx 52 )`
`=45.4 xx 10^(3) m =45.4 km`
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