Answer:
a) 59.375 Earth radii.
b) 237.5 Moon radii.
Step-by-step explanation:
Given : The distance between the Earth and the Moon is about 380,000 km. The radius of the Earth is about 6,400 km.
To find :
a. Express the Earth-Moon distance in units of Earth radii.
b. Express the Earth-Moon distance in units of Lunar radii.
Solution :
The radius of the Earth is about 6,400 km.
Moon is nearly [tex]\frac{1}{4}[/tex]th size of earth.
So, The radius of the moon is [tex]\frac{6400}{4}=1600\ km[/tex]
The distance between the Earth and the Moon is about 380,000 km.
a) Earth-Moon distance in units of Earth radii is given by
[tex]\frac{380000}{6400}=59.375[/tex] Earth radii.
b) Earth-Moon distance in units of Moon radii is given by
[tex]\frac{380000}{1600}=237.5[/tex] Moon radii.