Question

Cory makes a map of his favorite park, using a coordinate system with units of yards. The old oak tree is at position (1, 10) and the granite boulder is at position (-5, 9). How far apart are the old oak tree and the granite boulder? Round to the nearest tenth if necessary

Answer 1

Answer: 6.08 units

Step-by-step explanation:

Given

Co-ordinate of Old oak tree are (1,10)

Co-ordinates of the boulder are (-5,9)

distance between them is given by distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

distance between them is

$d=\sqrt{(-5-1)^2+(9-10)^2}=\sqrt{(-6)^2+(-1)^2}\\\\d=\sqrt{36+1}=\sqrt{37}\ \text{units}\\d\approx 6.08\ units$