Answer:
d = 2,011,661.81 m
The distance of the spaceship from the earth is d = 2,011,661.81 m
Explanation:
Let t1 represent the time taken for sound to travel between the astronaut and t2 the the time taken for electromagnetic waves to travel from the spaceship to earth.
Given;
t1 = t2
t1 = distance apart/speed of sound in air
t1 = 2.30/343 = 0.0067055 seconds
t2 = t1 = 0.0067055 seconds
Speed of electromagnetic waves v2 = 3.0 × 10^8 m/s
Distance of the spaceship from the earth is d;
d = speed v2 × time t2
d = 3.0 × 10^8 m/s × 0.0067055 s
d = 2,011,661.81 m
The distance of the spaceship from the earth is d = 2,011,661.81 m
