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Question

Part 1
On the​ earth, 11degrees° of latitude is how many​ kilometers? how many​ miles? (Assume that the radius of the earth is 6400​ km, or 4000​ mi, approximately.)
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Part 1
On earth 11degrees° of latitude is approximately equal to enter your response here kilometers.
​(Type an integer or decimal rounded to one decimal place as​ needed.)

Answer 1

To calculate how many kilometers corresponds to 11 degrees of latitude, we can use the following formula:

1. The circumference of the Earth can be calculated using the formula: \[ C = 2 \pi r \] where \( r \) is the radius of the Earth.

   Given \( r = 6400 , \text{km} \): \[ C = 2 \pi \times 6400 \approx 40212.4 , \text{km} \]

2. Since the Earth is divided into 360 degrees of latitude, the length of 1 degree of latitude is given by: \[ \text{Length of 1 degree} = \frac{C}{360} \approx \frac{40212.4}{360} \approx 111.2 , \text{km} \]

3. To find the distance for 11 degrees of latitude: \[ \text{Distance for 11 degrees} = 11 \times 111.2 \approx 1223.2 , \text{km} \]

So, on Earth, 11 degrees of latitude is approximately equal to 1223.2 km.

To convert this to miles, knowing that 1 km is approximately equal to 0.621371 miles: \[ 1223.2 , \text{km} \times 0.621371 \approx 760.0 , \text{miles} \]

Summary of results:

• 11 degrees of latitude is approximately 1223.2 kilometers.
• 11 degrees of latitude is approximately 760.0 miles.

Final answers:

• 11 degrees of latitude is approximately 1223.2 kilometers.
• 11 degrees of latitude is approximately 760.0 miles.