Question

2. 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: The old oak tree and the granite boulder are $\sqrt{26}$ units apart.

Step-by-step explanation:

The distance between points (a,b) and (c,d) is given by :-

$d=\sqrt{(c-a)^2+(d-b)^2}$

Given: The position of oak tree = (1, 10)

The position of granite boulder = (-5,9)

The distance between oak tree and granite boulder  = $\sqrt{(10-9)^2+(1-(-5))^2}$

$=\sqrt{(1)^2+(1+5)^2}\\\\=\sqrt{1+25}\\\\=\sqrt{26}\text{ units}$

Hence, the old oak tree and the granite boulder are $\sqrt{26}$ units apart.