danamariealexander07 danamariealexander07
  • 21-06-2022
  • Mathematics
contestada

5. A map is drawn to a scale of 3:750.
i. The distance between two towns is 15.4 cm apart. What is the actual distance between
these two towns in metres?

Respuesta :

TalShmueli
TalShmueli TalShmueli
  • 21-06-2022

Answer:

23.1m

Step-by-step explanation:

we define x to be the actual distance, y to be the distance on map (y=15.4cm)

if the map scale is 3:750, then by definition of scaling, x and y must satisfy:

[tex] \frac{y}{x} = \frac{3}{750} = \frac{1}{150} [/tex]

we isolate x:

[tex]x = 150 \times y = 150 \times 15.4 = 2310cm = 23.1m[/tex]

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