What should be height of transmitting antenna if the T.V. telecast is to cover a radius of 128 km128 km ?(Radius of Earth = 6400 km)

The height of the transmitting antenna can be calculated using the formula for the line of sight distance or the radio horizon of the antenna. The formula is:

d = √(2 * r * h)

where:

• d is the distance to the horizon (or the coverage radius),
• r is the radius of the Earth, and
• h is the height of the antenna.

We can rearrange this formula to solve for h:

h = (d² / (2 * r))

Given that d = 128 km and r = 6400 km, we can substitute these values into the formula:

h = (128 km)² / (2 * 6400 km) h = 16384 km² / 12800 km h = 1.28 km

So, the height of the transmitting antenna should be approximately 1.28 km to cover a radius of 128 km.