A map has a scale of 1 cm : 18 km. Two cities are 2.7 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?

Respuesta :

48.6 kilometer is the answer

Answer:

The actual distance corresponding to the map distance is 486 kilometer.

Step-by-step explanation:

Given : A map has a scale of 1 cm : 18 km. Two cities are 2.7 cm apart on the map. To the nearest tenth of a kilometer.

To find : What is the actual distance corresponding to the map distance?

Solution :

Let the actual distance corresponding to the map distance is 'x' km.

A map has a scale of 1 cm : 18 km.

Two cities are 2.7 cm apart on the map.

According to question,

[tex]\frac{1}{27}=\frac{18}{x}[/tex]

Cross multiply,

[tex]x=18\times 27[/tex]

[tex]x=486[/tex]

The actual distance corresponding to the map distance is 486 kilometer.