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If the altitude of the North Star is 30º above the horizon, then what is the highest altitude that the Sun will reach during the summer: degrees

Question

If the altitude of the North Star is 30º above the horizon, then what is the highest altitude that the Sun will reach during the summer: degrees

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Solution

The altitude of the North Star above the horizon is equal to the observer's latitude. So, if the North Star is 30º above the horizon, the observer is at 30º latitude.

At the summer solstice, the Sun is at its highest point in the sky, which is 23.5º north of the celestial equator.

For an observer at 30º latitude, the celestial equator is 60º above the southern horizon.

Therefore, at the summer solstice, the Sun will reach an altitude of 60º + 23.5º = 83.5º above the southern horizon.

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