Answer:
a. The Sun is 110.24 cm.
b. The distance of the nearest star at 4.24 light years is 3.1586 × [tex]10^{9}[/tex] cm.
Explanation:
Given a scale :
12700 Km : 1 cm
a. How large is the Sun of diameter 1.4 × [tex]10^{6}[/tex] Km?
Thus using the given scale, we have to compare the diameter of the Sun to that of the Earth.
= [tex]\frac{1.4*10^{6} }{12700}[/tex]
= 110.2362
The Sun is 110.24 cm.
b. how far away is the nearest star at a distance of 4.24 light-years on this scale?
A light year is a term that is used to express the total distance that light would travel in an empty space in a year.
One light year = 9.461 × [tex]10^{12}[/tex] Km
So that,
4.24 light years = 4.24 × 9.461 × [tex]10^{12}[/tex] Km
= 40.11464 × [tex]10^{12}[/tex] Km
Using the given scale,
[tex]\frac{40.11464*10^{12} }{12700}[/tex]
= 3.1586 × [tex]10^{9}[/tex]
The distance of the nearest star at 4.24 light years is 3.1586 × [tex]10^{9}[/tex] cm.
