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The distance from the Sun to Earth is approximately $\"\"$ .

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The distance from the Sun to Venus is approximately $\"\"$ .

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The elongation angle is the angle formed between the line of sight from Earth to the Sun and the line of sight from Earth to Venus $\"\"$ .

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Consider the distance between the Earth and Venus as $\"\"$ .

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Draw a diagram for the situation:

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$\"\"$

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Observe the figure:

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Apply the Law of Sines for triangle $\"\"$ :

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ and $\"\"$ .

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$\"\"$ .

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$\"\"$ .

\

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Apply the Law of Sines for triangle $\"\"$ for $\"\"$ : \ \

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$\"\"$

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$\"\"$ .

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Apply the Law of Sines for triangle $\"\"$ for $\"\"$ .

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$\"\"$

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$\"\"$ .

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Thus, possible distances between Earth and Venus are approximately $\"\"$ or $\"\"$ .

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Possible distances between Earth and Venus are approximately $\"\"$ or $\"\"$ .