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A TV transmission tower has a height of ...

A TV transmission tower has a height of 140 m and the height of the receiving antenna is 80 m. What is the maximum distance upto which signals can be broadcasted from this tower in LOS (Line of Sight) mode? (Given: Radius of earth `= 6.4 xx 10^6 m` )

A

75 km

B

80 km

C

48 km

D

40 km

Text Solution

Verified by Experts

The correct Answer is:
A
`sqrt(2 xx 6.4 xx 10^6 xx 140) + sqrt(2 xx 6.4 xx 10^6 xx 80)`
` = sqrt(28 xx 64 xx 10^6) + sqrt(64 xx 10^6 xx 16) = (sqrt(28) + sqrt(16) ) xx 8 xx 10^3 = (5.3 + 4) xx 8 km `
` = 9.3 xx 8km = 74.4 km ~~ 75km`
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