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write and solve a real word problem that involves determining distance on a coordinate plane

Respuesta :

Answer:

The required Real word Problem,

The California city is mapped on a coordinate graph with the origin being at Golden Gate Bridge. The DisneyLand is located at the point (-9, 3) and the Big Sur is located at (1, 3).  Find the Distance between DisneyLand and Big Sur? Also find how far Golden gate bridge from DisneyLand?

Solution,

Given: Coordinate of Golden Gate Bridge = (0,0)

Coordinate of DisneyLand = (-9,3)

Coordinate of Big Sur = (1,3)

We use Distance formula to find Distance between two places.

[tex]Distance\:Formula\;=\:\sqrt{(x_2-x_1)^2+(y_2-y_1)^2)}[/tex]

[tex]Distance\:Between DisneyLand\:and\:Big\,Sur\:=\:\sqrt{(-9-1)^2+(3-1)^2}\\\\=\sqrt{(-10)^2+(2)^2}\implies\sqrt{100+4}\implies \sqrt{104}\implies2\sqrt{26}\, unit[/tex]

[tex]Distance\:Between DisneyLand\:\:\:\:and\:\:\:\:Golden\:Gate\:Bridge\:=\:\sqrt{(-9-0)^2+(3-0)^2}\\\\=\sqrt{(-9)^2+(3)^2}\implies\sqrt{81+9}\implies \sqrt{89}\, unit[/tex]

Distance Between DisneyLand and Big Sur is [tex]2\sqrt{26}\:unit[/tex] and Between DisneyLand and Golden Gate Bridge is [tex]\sqrt{89}\:unit[/tex]