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Problem 905

What is the length of the shortest path from the North Pole to the South Pole? (Take the diameter of the earth to be 8,000 miles.)

Expert verified

The shortest path from the North Pole to the South Pole along the Earth's surface is approximately 12,566.37 miles.

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Chapter 52

Bellingham, Washington, is at \(49^{\circ} \mathrm{N}\) latitude and \(122^{\circ} \mathrm{W}\) longitude. San Francisco, California is at \(38^{\circ} \mathrm{N}\) latitude and \(122^{\circ} \mathrm{W}\) longitude. What is the direct air distance from Bellingham to San Francisco?

Chapter 52

How far apart are 2 points on the equator if their longitudes differ by \(1^{\circ} ?\)

Chapter 52

The surface area of a sphere is \(4 \pi \mathrm{r} 2\), where \(\mathrm{r}\) is the radius of the sphere. Assuming that the diameter of the earth is 800 miles and \(\pi=22 / 7\), what is the surface area of the earth?

Chapter 52

Find the circumference of the \(41^{\circ}\) parallel. (In the figure, \(\underline{O P}\) is the radius of the \(41^{\circ}\) parallel. \(\operatorname{Cos} 41^{\circ}=.755\).)

Chapter 52

New York City has longitude \(74^{\circ} \mathrm{W}\) and Portland, Oregon has longitude \(122^{\circ} \mathrm{W}\). (a) What is the difference in longitude between these 2 cities? (b) What fraction of \(360^{\circ}\) is this? (c) What is the actual time difference between New York City and Portland?

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