A T.V. tower has a height of 100m. How much population is covered by the T.V. broadcast if the average population density around the tower is `1000 per sq.km.Radius of the earth `6.37xx10^(6)m`.By how much height of the tower be increased to double to its coverage range?

Explanation

To solve the problem, we need to determine how much population is covered by the TV broadcast from a tower of height 100 m and how much the height of the tower needs to be increased to double its coverage range.

### Step 1: Determine the coverage area of the TV tower
The formula for the distance \(d\) to the horizon from a height \(h\) is given by:
\[ d = \sqrt{2hR} \]
where \(R\) is the radius of the Earth.
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