Question

A T.V. transmission tower has height of $80m$. Radius of earth is $6400km$. What is the coverage range of tower?

• A. $10km$
• B. $12km$
• C. $32km$
• D. $64km$

Answer 1

The correct option is C $32km$

The coverage range is given by
$l=\sqrt{2\times R\times h}$
where $R$ is the radius of the earth and $h$ is the height of the tower.
$\therefore l=\sqrt{2\times 6400\times {10}^3\times 80}=32000m=32km$