Saturday, October 22, 2011
Relative distance of Earth and Venus to the Sun
When Venus is at its highest in the sky at sunset or sunrise, it subtends an angle of approximately 45° (47.8°) to the horizon. At that time of year (the next time will be on January 3rd 2012), the distance from Earth to Venus is equal to the distance from Venus to the Sun. Using pythagorus theorem the distance from Earth to the Sun is then equal to Earth to Venus multiplied by 1.414.
At that time if a radar pulse is sent from Earth to Venus and if the time is taken to record the echo, it will be found to take about 12 minutes and 6 seconds. Halving the time and multiplying by the speed of light, leads to the determination of the distance from the Earth to the Sun as 152 million km.
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