# Suppose we want to construct an accurate scale model of the Solar System and we use an orange (diameter 10 cm) to represent the Sun. How far away would we have to put Pluto?

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You will need to use the fact that 1 Astronomical Unit is 23,400 times the radius of the Earth, the Sun has a radius 109 times that of the Earth and the semi-major axis of Pluto's orbit is 39.5 AU.

You will need to use the fact that 1 Astronomical Unit is 23,400 times the radius of the Earth, the Sun has a radius 109 times that of the Earth and the semi-major axis of Pluto's orbit is 39.5 AU.

Relating to the specified data for use, the answer is 42399 cm = 424 meters, nearly, from the center of the orange

The plotting distance for Pluto is s X 39.5 X 23400 cm, and the scale factor for the Earth's radius is s = 5/109 cm. If I had used five or more correct significant digits (sd) in each set of data, I would have almost precisely calculated 42472 cm = 425 meters.

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Just over 424 metres away.

The sun's diameter is 1,391,000 km, so the scale you would be using is 1,391,000 km = 10 cm, or 1 cm = 139,100 km.

The distance between the sun and Pluto is 5,906,380,000 km, so on the scale you have proposed, you would need to position Pluto (5,906,380,000 / 139,100) = 42,461 cm away from the orange.

So the answer is 424.61 metres.

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About 39 meters away.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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