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) an
d 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
1 answer:
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}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
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](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-5-1%29%5E2%2B%289-10%29%5E2%7D%3D%5Csqrt%7B%28-6%29%5E2%2B%28-1%29%5E2%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B36%2B1%7D%3D%5Csqrt%7B37%7D%5C%20%5Ctext%7Bunits%7D%5C%5Cd%5Capprox%206.08%5C%20units)
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