Question

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

Answer 1

Answer: 5.09 units

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.

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Distance between them is

`\Rightarrow d=√((-2-3)^2+(6-7)^2)\\\Rightarrow d=√((-5)^2+(-1)^2)\\\Rightarrow d=√(25+1)=√(26)\approx 5.09\ \text{units}`