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A transmitting antenna at the top of the...

A transmitting antenna at the top of the tower has a height 18 m and the height of the receiving antenna is 32m. The maximum distance between them for satisfactory communciation in line of sight mode is (Radius of earth`= 6.4xx10^(6)m`)

A

15.15km

B

21.25km

C

30.45km

D

35.42km.

Text Solution

Verified by Experts

The correct Answer is:
D

here `h_(t)=18m,h_(R)=32m`,
`R6.4xx10^(6)m=64xx10^(5) m`
The maximum line or sight distance
`d_(m)=sqrt(2Rh_(T))+sqrt(2Rh_(R))`
`=sqrt(2xx64xx10^(5)xx18)+sqrt(2xx64xx10^(5)xx32)`
`=112xx10^(2)xxsqrt(10) m=35417.5m=35.42km`
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