Sample Solution from
The Cosmic Perspective
7th Edition
ISBN: 9780321839558
Chapter 1
Problem 1VSC
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To determine

Distance between the two photos in order to show the distance between Earth and the Moon on the scale of (1 cm=4000 km).

Expert Solution

Answer

Solution:

In order to show the distance between Earth and the Moon you need to place the photos about 1 meter apart (about the length of your arm). Therefore option (b) is correct.

Explanation of Solution

Given:

Distance between the Earth and the Moon, x=384,000 km

Scale, (1 cm=4000 km).

Calculation:

As we know the distance between the Earth and the Moon is 384,000 km, The distance on the desired scaled of (1 cm=4000 km) is calculated as

y=384000 (km)×1 cm1 cm=384000 (km)×1 cm4000 ( km)    (∵1 cm=4000 km)=96 cm≈1 m

Hence, the photo should be 1 m apart (about the length of your arm) in order to show the distance between the earth and the moon on the scale of (1 cm=4000 km).

Conclusion:

The distance between the photos should be 1 m in order to show the distance between the earth and the moon on the scale of (1 cm=4000 km).

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