Question

Mars

Pluto
Average Distance from Sun
(Miles)
1.42 x 108
3.67 x 109
The average distance from Earth to the sun is defined as 1 astronomical unit.
What is the distance, in astronomical units, from Mars to Pluto? Round your answer
to the nearest tenth.

Answer 1

Given parameters:

Table of values

Planets Average distance from Sun(miles)

Mars 1.42 x 10⁸

Pluto 3.67 x 10⁹

The average distance from Earth to Sun is 93.08 x 10⁶ miles

So:

1 Astronomical unit = 93.08 x 10⁶ miles

Unknown;

Distance in Astronomical unit of Mars and Pluto.

Since :

93.08 x 10⁶ miles = 1 Au

For Mars;

1.42 x 10⁸ miles =
`(1.42 x 10^(8) miles x 1Au)/(93.08 x 10^(6) miles )`

= 0.015 x 10²AU

= 1.5AU

For Pluto:

93.08 x 10⁶ miles = 1 Au

3.67 x 10⁹ miles =
`(3.67 x 10^(9) miles x 1Au)/(93.08 x 10^(6) miles )`

= 0.039428 x 10³AU

= 39.428AU

To the nearest tenth = 39.4AU

So the distance of Mars in AU is 1.5AU and Pluto is 39.4AU