A TV transmitting antenna is 98 m high and the receiving antenna is at the ground level. If the radius of the earth is 6400 km , the surface area covered by the transmitting antenna is approximately:

Step-by-step solution

The given data is H = 98   m R = 6400   km The line of sight formula for an antenna is d = 2 R H ⇒ Area = π d 2 = π × 2 × R × h = 2 × 6400 × 98 × 10 - 3 × π = 3940   km 2