Question

A tv tower is80 m tall.calculate the maximum distance upto which the signal transmitted from the tower can be received.

Answer 1

Height of TV tower = H = 80 m
Radius of earth = R= 6.4×10^6
So, the maximum distance upto which the signal transmitted from the tower can be received =
$d = \sqrt{2rh} m \\ \: \: \: = \sqrt{2 \times 6.4 \times 10^{6} \times 80 } m\\ \: \: \: = \sqrt{1024 \times {10}^{6} } m\\ \: \: \: = 32 \times {10}^{3} m \\ = 32km$
So the answer is 32 km