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 up to which signals can be broadcasted from this tower in $$LOS($$ Line Of $$Sight)$$ mode? $$($$ Take radius of earth $$R=6.4$$×$$106m$$ $$)$$

Question

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 up to which signals can be broadcasted from this tower in $$LOS($$ Line Of $$Sight)$$ mode? $$($$ Take radius of earth $$R=6.4$$×$$106m$$ $$)$$

Infinity Learn · Accepted Answer

Maximum distance of transmission is given by   $$d=2RhT+2RhR$$ Where,  $$hT=$$ height of transmission $$=$$ $$140$$ m                   $$hR=$$ height of receiver $$=$$ $$40$$ m                    R $$=$$ radius of earth  $$=6.4$$×$$106m$$      Substituting the values , we get $$d=2$$×$$6.4$$×$$106140+40$$ $$==357711.832+6.324=64944m=65$$ km

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 up to which signals can be broadcasted from this tower in LOS( Line Of Sight) mode? ( Take radius of earth $R = 6.4 \times 10^{6} m$ )

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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 up to which signals can be broadcasted from this tower in LOS( Line Of Sight) mode? ( Take radius of earth R=6.4×106m )

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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 up to which signals can be broadcasted from this tower in LOS( Line Of Sight) mode? ( Take radius of earth $R = 6.4 \times 10^{6} m$ )