Your backpacker's guide contains a grid map of Paris, with each unit on the grid representing 0.5 kilometers. If the Arc de Triomphe is located at (2,−9) and Les Invalides is located at (5,−9), what is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two monuments in kilometers? Round your answer to two decimal places, if necessary.

Respuesta :

Answer:1.5 km

Step-by-step explanation:

Given

Each unit on the grid measures [tex]0.5 km[/tex]

If the coordinates of the point are [tex](2,-9)[/tex] and [tex](5,-9)[/tex]

then distance between them is given by

[tex]d=\sqrt{(5-2)^2+(-9-(-9)^2)}[/tex]

[tex]d=\sqrt{3^2+0^2}[/tex]

[tex]d=3\units [/tex]

and each unit is [tex]0.5 km[/tex]

therefore distance [tex]=0.5\times 3=1.5\ km[/tex]

The distance between the two monuments 1.5 km.

Important information:

  • Arc de Triomphe is located at (2,−9).
  • Les Invalides is located at (5,−9).
  • Each unit on the grid represents 0.5 kilometers.

We need to find the distance between the two monuments in kilometers.

Distance between two point:

The distance between (2,−9) and (5,−9) is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(5-2)^2+(-9-(-9))^2}[/tex]

[tex]d=\sqrt{(3)^2+(0)^2}[/tex]

[tex]d=3[/tex]

Each unit on the grid represents 0.5 kilometers.  So, the actual distance is:

[tex]3\times 0.5=1.5[/tex]

Therefore, the distance between the two monuments 1.5 km.

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