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Your travel guide contains a grid map of Washington D.C., with each unit on the grid representing 0.25 miles. If the Jefferson Memorial is located at (3,−1) and the Lincoln Memorial is located at (7,−5), what is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two memorials in miles? Round your answer to two decimal places, if necessary.

Respuesta :

Finding the distance between the two points and applying the proportion, it is found that the distance between the two memorials is of 1,42 miles.

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The distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is of:

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

  • One memorial is at point (3,-1).
  • The other is at point (7, -5).

Thus, in the coordinate grid, the distance is of:

[tex]D = \sqrt{(7 - 3)^2+(-5 - (-1))^2} = \sqrt{4^2 + 4^2} = \sqrt{32} = 5.66[/tex]

  • In the coordinate, the distance is of 5.66 units. Each unit is worth 0.25 miles, thus:

[tex]D_m = 5.66(0.25) = 1.42[/tex]

  • The distance between the two parks is of 1.42 miles.

A similar problem is given at https://brainly.com/question/18345417

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