Exercise 4 Parts 1 and 2
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Central New Mexico Community College *
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1101
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Mathematics
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Feb 20, 2024
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Exercise 4 Problems—Part I
Name: Brandon WhitakerRoss For questions 1 through 4, calculate the following distances using the fractional map scale. (Your
instructor may ask you to show your work in the space provided.)
1.
On a map with a scale of 1:24,000, a measured distance of 1 inch represents an actual distance of: 2,000 feet.
2.
On a map with a scale of 1:62,500, a measured distance of 4.5 inches represents an actual
distance of: 4.4 miles.
3.
On a map with a scale of 1:250,000, a measured distance of 4.5 inches represents an actual distance of: 17.7 miles.
4.
On a map with a scale of 1:50,000, a measured distance of 7.5 centimeters represents an actual distance of: 3.8 kilometers.
5.
Map T-1 (in the back of the Lab Manual) shows part of the island of Hawai‘i at a scale of 1:250,000. Using the appropriate graphic scale on Map T-1, determine the distance from the “Patrol Cabin” (at the summit of Mauna Loa) to the “Rest House” (northeast of the summit of Mauna Loa):
8.8 miles (statute miles)
15 kilometers
6.
Map T-12 shows an area near Sodus, New York, at a scale of 1:24,000. Using the appropriate graphic scale, determine the length of Snyder Road (in the northern part of the map) between the spot elevations marked 490 and 496.
0.7 feet
2,000 miles
0.4 kilometers
Exercise 4 Problems—Part II
1.
If a measured distance of 10 inches on a map represents an actual distance of 5 miles, what is the fractional scale of the map? 1:31,680
2.
Express a fractional scale of 1:100,000 as a verbal scale: One centimeter represents 1 kilometer(s).
Questions 3 through 4 are based on this set of graphic scales for a map with a fractional scale of 1:50,000:
3.
Why isn’t “0” at the far left of the scales?
Zero is not at the far left because it allows more
accurate measurements of earth’s surface. 4.
If a map with these graphic scales is enlarged along with the scales (such as by using image enlarging software or a photocopy machine): the size of the map relative to Earth has changed. a.
Will the fractional scale of the map change? Why? Yes, because they were enlarged the same amount as the map. b.
Will the graphic scales (as shown) still be usable? Why? Yes, they were enlarged the same amount as the map so one will assume that the scales were enlarged as well.
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