Question

On a scale where the distance from Earth to the Sun is about 15 meters, the distance from Earth to the Moon is __________.

Answer 1

Answer:

The distance from Earth to the Moon is 38.54 millimeters in the scale.

Explanation:

Distance earth-sun=$149.6\times10^{9}m$

Distance earth-moon=$384.4\times10^{6}m$

First, we should find what's the equivalence between one meter on our scale and the real distance. It's the division between the distance earth-sun by the 15 meters:

$\frac{149.6\times10^{9}m}{15m}=9973333333m$

So 1 meter on our scale is equivalent to $9973333333$ meters in the real world, so now we're going to divide the distance earth-moon by the equivalence to real world of 1 meter on our scale and that's going to give us the number of meters in the scale equivalent to distance earth-moon.

$\frac{384.4\times10^{6}m}{9973333333m}= 0.0385m$

Converting the answer to millimeters (knowing that 1m=1000mm)

$38.54mm$