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Where are you on Earth if you experience each of the following? (Refer to the discussion in Observing the Sky: The Birth of Astronomy as well as this chapter.)

The stars rise and set perpendicular to the horizon.
The stars circle the sky parallel to the horizon.
The celestial equator passes through the zenith.
In the course of a year, all stars are visible.
The Sun rises on March 21 and does not set until September 21 (ideally).

User Mholzmann
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Final answer:

If you experience the stars rising and setting perpendicular to the horizon, the celestial equator passing through the zenith, and all stars being visible throughout the year, you would be located at the Earth's equator. If the Sun rises on March 21 and does not set until September 21, you would be in a region near one of the Earth's poles.

Step-by-step explanation:

If you experience the stars rising and setting perpendicular to the horizon, the celestial equator passing through the zenith, and all stars being visible throughout the year, you would be located at the Earth's equator. At the equator, stars rise straight up from the east side of the horizon and set straight down on the west side due to the Earth's rotation.

The celestial poles, which are 90 degrees from the celestial equator, would be at the north and south points on the horizon. However, if the Sun rises on March 21 and does not set until September 21, you would be in a region near one of the Earth's poles, such as the North Pole. At the poles, the stars would appear to circle the zenith and not rise or set.

User Mohit Kanwar
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Step-by-step explanation:

We know that the sky appears to us like a sphere called as celestial sphere which appears to rotate around an imaginary axis because of Earth's rotation. Since the axis cuts the celestial sphere at celestial poles all the object seems to circle around the celestial poles.

Condition 1: The stars rise and set perpendicular to the horizon

The observer is at the equator

Condition 2: The stars circle the sky parallel to the horizon

The observer is at the Pole of the Earth

Condition 3: The celestial equator passes through the zenith

The observer is at the equator

Condition 4: In the course of a year, all stars are visible

The observer is at the equator

Condition 5: The Sun rises on March 21 and does not set until September 21 (ideally)

The observer is at North Pole

User Talon
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