Question

The earth is about​ 12,760 km in diameter and about 150 million kilometers away from the sun. The nearest stars besides the Sun are about 4.3​ light-years away​ (1 ​light-year equals = 9.5 times 10 Superscript 12 Baseline km 9.5×1012 km​). At a scale of 1 to 10​ billion, the Sun would be about the size of a grapefruit. How big and how far away would the Earth be on this​ scale? How far would the nearest stars​ (besides the​ Sun) be? 1

Answer 1

Rating of size of earth to sun = 5

Distance of earth from sun = 0.15 billion

The earth is 9.500015*10^12km from the star.

Explanation:

Let's assume the grape fruit size is 10.

If from one to one billion the sun gas 10 and the sun is as big as. Double of the earth ,the the earth has 5

The earth is 150 million away from the sun.

In the ratio ofone billion it is = 150000000/1000000000

= 0.15 billion

The distance between a nearest star and the earth would be the distance of the sun to a nearest star plus distance of the earth to the sun

The star is one light year = 9.5*10^12 km From the sun

The earth is= 150 million kilometers from The sun

= 9.5*10^12 km + 1.5*10^8km

= 9.5*10^12 + 0.00015*10^12

=( 9.5+0.00015)*10^12

= 9.500015*10^12km

The earth is 9.500015*10^12km from the star.