The height of tower is 235 m to he average population density is 1000 km per around tower then how man people can transmission reach
Answers
9.4 * 10⁶ people are covered by the transmission if the height of the tower is 235 m to the average population density is 1000 km⁻² around tower.
Explanation:
It is given that,
The height of the tower, h = 235 m
The average population density, P = 1000 km⁻² = 1000/(1000²) = 10⁻³ m⁻²
We know that,
d = √[2Rh] …… (i)
where
h = height of the tower
R = radius of earth = 6.4 * 10⁶ m
d = maximum distance up to which the transmission can be received
Substituting the given values in the formula (i), we get
d = √[2 * 6.4 * 10^6 * 235] ……. (ii)
Now, we have
The population covered by the transmission is given by
= [Area of range] x [Population density]
= πd² * P
= (22/7) * (2 * 6.4 * 10⁶ * 235) * 10⁻³
= 9453.714 * 1000
= 9.4 * 10³ * 10³
= 9.4 * 10⁶
Thus, the transmission from the tower can reach to 9.4 * 10⁶ no. of people.
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