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If the altitude of the North Star is 27° above the horizon, then you are approximately at degrees N Latitude.

Question

If the altitude of the North Star is 27° above the horizon, then you are approximately at degrees N Latitude.

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Solution

To determine your approximate latitude based on the altitude of the North Star (Polaris), which is located nearly directly above the North Pole, you can use the following principles of celestial navigation.

1. Break Down the Problem

To find your latitude based on the altitude of Polaris:

  • Understand that the altitude of Polaris above the horizon corresponds directly to your latitude in the Northern Hemisphere.
  • If Polaris is at an altitude of 27°, your latitude is approximately equal to that altitude.

2. Relevant Concepts

  • The latitude in degrees corresponds to the angle of elevation of Polaris above the horizon: LatitudeAltitude of Polaris \text{Latitude} \approx \text{Altitude of Polaris}

3. Analysis and Detail

Given:

  • Altitude of Polaris = 27°

Thus: Latitude27°N \text{Latitude} \approx 27° N

4. Verify and Summarize

The calculation indicates that if the North Star is observed at an altitude of 27° above the horizon, then the observer's latitude is approximately 27° North. Since this method is based on well-established principles of astronomy and navigation, the findings are verified.

Final Answer

You are approximately at 27° N Latitude.

This problem has been solved

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