Answer:
The spaceship is placed at a distance of [tex]1.28\times 10^6\[/tex] meters from the Earth.
Explanation:
Distance between two astronauts, d = 1.4 m
The time it takes for sound waves to travel at 328 m/s through the air between the astronauts equals the time it takes for the electromagnetic waves to travel to the earth.
For sound, time taken is given by :
[tex]t=\dfrac{1.4}{328}\ ........(1)[/tex]
For electromagnetic wave, time taken to travel the Earth is :
[tex]t=\dfrac{d}{3\times 10^8}\ ........(2)[/tex]
d is the distance from the Earth to the spaceship.
As time are same :
[tex]\dfrac{d}{3\times 10^8}=\dfrac{1.4}{328}[/tex]
[tex]d=\dfrac{1.4}{328}\times 3\times 10^8\\\\d=1.28\times 10^6\ m[/tex]
So, the spaceship is placed at a distance of [tex]1.28\times 10^6[/tex] meters from the Earth.
