Scales and Directions

Scales and Directions

Scales

Scales help us to draw the picture of anything however big it may be, by shrinking its size and without affecting its shape.
It is the relationship between the actual object or geographical location and the drawing of it on a paper.
For example, if we draw the image of a bus, car, train, aeroplane, river, etc. on a paper, the size of these objects are reduced but the shapes looks the same.

Look at the picture of this car.

The length of the car in this picture is 6 cm. But the actual length would be 3 m. So, the scale is 6 cm = 3 m or 2 cm = 1 m.

Look at the picture of a bus.

The actual length of the bus is 6 m. But in the picture, the length of the bus is 6 cm. Thus, 6 cm represent 6 m.
So, the scale is 1 cm = 1 m.

Example 1: The scale of the map is 1 cm = 80 km. Find the actual distance if

a. the distance between point A and point B on the map is 4.2 cm.
b. the distance between point C and point D on the map is 1.5 cm.

Solution:
a. The distance between point A and point B on the map is 4.2 cm.
Actual distance between two points = 4.2 × 80 = 336 km

b. The distance between point C and point D on the map is 1.5 cm.
Actual distance between the two points = 1.5 × 80= 120 km

Example 2: The scale of a map is 1 cm = 200 km. Using this scale, find the distance on the map between place P and place Q if the actual distance between them is 1400 km.

Solution: The scale of the map is 1 cm = 200 km
Since 200 km = 1 cm
Therefore, 1400 km = 1400 ÷ 200 = 7 cm

Thus, the distance on the map between the place P and place Q is 7 cm.

Example 3: The children’s park given below is drawn on the scale 1 cm = 10 m. Find the actual area of the park.

Magnification

Look at the two images drawn on 1/2 cm and 1 cm grids.

These two images are the same, but enlarged according to the scale factor.
Image 2 is magnified image of image 1 as image 1 is drawn on 1/2 cm grid, and image 2 is drawn on 1 cm grid.

Route Map

Route map is the drawing of a route on the paper to help us to go from one place to the other place.

Key

Observe the map of India given below.
Some keys have been used to indicate certain places.

Directions

Directions help us to follow a map to find any destination.

Julia is facing north. She makes a 1/4 turn clockwise. Now, she faces east.

Jacob is facing south. He makes a 1/2 turn clockwise. Now, he faces north.
Robin is facing west. He makes a 3/4 turn clockwise. Now, he faces south.

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