A TV transmission tower antenna is at a height of 20 m. How much service area can it cover if the receiving antenna is (i) at ground level, (ii) at a height of 25 m? Calculate the percentage increase in area covered in case (ii) relative to case (i).

Given,

Height of transmission tower,

We know that the radius of earth,

If the height of the receiving tower is ,then the maximum distance that can be between the antennas is given by:

(i)

Here,

We have,

The area covered is a circle with radius d.

(ii)

Here,

We have,

The area covered is a circle with radius d.

(iii)

Percentage increase is given by