Question

The height of Tv tower at a certain place is 245m .The maximum distance up to which its programme can be received is ?​

Answer 1

Given The height of Tv tower at a certain place is 245 m .The maximum distance up to which its programme can be received is

Assuming radius of the earth is 6.4 x 10 ^6 we can calculate as

      h = 245 m

So √2 h R = √2 x 245 x 6.4 x 10^6

                 = √3136 x 10^6

               = 56000 km

So the maximum distance up to which its programme can be received is 56000 km.

Answer 2

it is given that, The height of TV tower at a certain place is 245m. Let, h = 245

use formula, $x_{max}=\sqrt{2hR}$

where, h denotes the height of TV tower at a certain place, $x_{max}$ denotes the maximum distance upto which TV program can be received and R denotes earth's radius.

now, R = 6400 Km = 6.4 × 10^6 m

and h = 245m

so, $x_{max}=\sqrt{2\times245\times6.4\times10^6}$

= 56 × 10^3 m = 56km

hence, the maximum distance upto which its program can be received= 56km