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Cory makes a map of his favorite park, using a coordinate system with units of yards. The old oak tree is at position (3, 7) and the granite boulder is at position (-2, 6). How far apart are the old oak tree and the granite boulder? Round to the nearest tenth if necessary

Respuesta :

Answer: 5.09 units

Step-by-step explanation:

Given

Coordinates of Old oak tree are (3,7)

Coordinates of granite boulder are (-2,6)

Distance between them is given by distance formula i.e.

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

Distance between them is

[tex]\Rightarrow d=\sqrt{(-2-3)^2+(6-7)^2}\\\Rightarrow d=\sqrt{(-5)^2+(-1)^2}\\\Rightarrow d=\sqrt{25+1}=\sqrt{26}\approx 5.09\ \text{units}[/tex]

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