Respuesta :

calculista

Answer:

The length of the river on a map is [tex]9.6\ cm[/tex]

Step-by-step explanation:

we know that

The scale of the map is [tex]1:5,000,000[/tex]

That means

1 cm on a map is 5,000,000 cm on the actual

or

1 cm on a map is 50 km cm on the actual

so

using proportion

[tex]\frac{1}{50}\frac{cm}{km}=\frac{x}{480}\frac{cm}{km}\\ \\x=480/50\\ \\x=9.6\ cm[/tex]

The length of a river on the map will be 96 mm or 9.6 cm.

Given to us,

length of a river = 480 km,

map scale ratio = 1:5000000,

Solution

As we know, 1 km = [tex]\bold{1 \times 10^6 }[/tex] mm,

so, 480 km = [tex]\bold{480 \times 10^6\ mm}[/tex].

Assumption

Let the length of a river on the map be x mm.

Further, as given to us map scale ratio of 1:5000000, therefore, each 1 mm on the map is 5000000 mm in the real.

Using the same ratio,

[tex]\rm{\dfrac{1\ mm(map)}{5000000\ mm(real)} = \dfrac{x\ mm(map)}{480\times 10^6\ mm(real)}}[/tex]

[tex]\rm{x\ mm(map)= \dfrac{480\times 10^6\ mm(real)}{5000000\ mm(real)}}[/tex]

x = 96 mm (on map),

x = 9.6 cm (on map).

Hence, the length of a river on the map will be 96 mm or 9.6 cm.

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