# Applications of Scale questions

*label*Mathematics

*timer*Asked: Jan 30th, 2019

*account_balance_wallet*$5

### Question Description

Hey , Please read the assignment carefully and accept the deal if you are confident to do it right.

See the attached file as support to you . Also, look to the chapter 2 in the text book( Map Use )

It is often useful to know the relationship between map scale, map size, and ground coverage. The problems below are meant to demonstrate the far-reaching usefulness of the map scale in its different expressions. They show only a few of the many ways you can manipulate scale information to solve problems involving distance relations. As you work through the problems, show your work, as well as the answers. You will only get points for the correct answer if you also include a meaningful description of how you derived it. If necessary, you may attach an additional sheet. Be sure to include the appropriate units of measure in your answers. You may also wish to refer to Chapter 2 in the textbook.

1. If the RF of a map is shown as 1:75,000, what is the verbal scale in “centimeters to the kilometer”? Round the answer to the nearest tenth. Draw a scale bar that correctly represents the verbal scale.

2. If the scale bar of a map shows, by measurement, that 1 cm represents 50 km, what is the RF?

3. If the scale bar of a map shows, by measurement, that 1 inch represents 75 mi., what is the RF?

4. The scale of Map A is 1:1,000,000 and the distance between two cities shown in that map measures 9 inches. The distance between the same two cities on Map B is 6 inches. What is the scale of Map B?

5. Using a photocopy machine, you enlarge a 1:24,000 map to 135% of its original size. What will be the scale of the enlarged map? Round the answer to the nearest ten (in the scale denominator).

## Tutor Answer

The solutions are ready, please ask if something is unclear.docx and pdf files are identical

1. If the RF of a map is shown as 1:75,000, what is the verbal scale in “centimeters to the kilometer”?

Round the answer to the nearest tenth. Draw a scale bar that correctly represents the verbal scale.

There are 100 ∙ 1000 = 100,000 centimeters in one kilometer.

The given map represents 75,000 centimeters in one centimeter,

75,000

i.e. its verbal scale is “1 cm represents 100,000 = 0.75 km”.

Rounded to the nearest tenth this gives “1 cm represents 𝟎. 𝟖 km”.

Further, one kilometer on this map has the length of

100,000

75,000

≈ 1.3 (𝑐𝑚). The picture:

(the length of one part is supposed to be 1.3 cm and it represents one km on the map).

2. If the scale bar of a map shows, by measurement, that 1 cm represents 50 km, what is the RF?

5...

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