The radio signal sent from the Earth to the Moon returned after 2.56 s. Determine from this data the distance to the moon

The radio signal sent from the Earth to the Moon returned after 2.56 s. Determine from this data the distance to the moon. The speed of propagation of electromagnetic waves c = 3 * 10 ^ 8 m / s.

Let the distance between the Earth and the moon be l. Then the path traversed by the radio signal is equal to 2l (first a direct signal from the Earth to the Moon, and then – reflected, from the Moon to the Earth).

2l = t * v;

l = (t * v) / 2 = (2.56 * 3 * 10 ^ 8) / 2 = 3.84 * 10 ^ 8 m = 384,000 km.

Answer: 384,000 km.