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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 40 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 = `6.4xx10^(6)` m).

A

65 km

B

80 km

C

48 km

D

40 km

Text Solution

Verified by Experts

The correct Answer is:
A
`sqrt(2xx6.4xx10^(6)xx140)+sqrt(2xx6.4xx10^(6)xx40)`
`sqrt(28xx64xx10^(6))+sqrt(8xx64xx10^(6))=(sqrt(28)+sqrt8)xx8xx10^(3)`
`=(5.3+2.8)xx8` km = `8.1xx8` km =64.8 km `~~` 65 km
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