How To Draw A Scale Map

A map cannot be of the same size equally the area it represents.  So, the measurements are scaled downwardly to make the map of a size that tin be conveniently used by users such equally motorists, cyclists and bushwalkers.  A calibration cartoon of a edifice (or span) has the same shape as the real building (or bridge) that it represents but a different size.  Builders use scaled drawings to make buildings and bridges.

A ratio is used in calibration drawings of maps and buildings.  That is:

As well, nosotros have:

A scale is commonly expressed in one of two ways:

• using units as in 1 cm to 1 km
• without explicitly mentioning units as in 1 : 100 000.

Note:

A scale of 1 : 100 000 means that the real distance is 100 000 times the length of 1 unit on the map or drawing.

Case fourteen

Write the calibration i cm to 1 m in ratio class.

Solution:

Instance 15

Simplify the scale v mm : i m.

Solution:

Example xvi

Simplify the scale 5 cm : 2 km.

Solution:

Calculating the Actual Distance using the Scale

If the scale is 1 : x, then multiply the map distance past x to summate the actual distance.

Instance 17

A item map shows a scale of i : 5000.  What is the actual distance if the map altitude is 8 cm?

Solution:

Map distance = eight cm

Let the actual distance be a cm.

Culling Way:

Map distance = 8 cm

Computing the Scaled Altitude using the Actual Altitude

If the calibration is i : x, so divide the bodily altitude by 10 to calculate the map altitude.

Case eighteen

A detail map shows a calibration of 1 cm : 5 km.  What would the map distance (in cm) be if the actual distance is 14 km?

Solution:

So, the map distance is 2.8 cm.

Alternative Way:

So, the map altitude is 2.eight cm.

Key Terms

scale drawing, map, scaled down, calibration of a drawing, map scale

Source: https://www.mathsteacher.com.au/year8/ch06_ratios/06_scale/draw.htm

Posted by: smithknorted.blogspot.com

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