reed and skylar are playing hide and seek. rees runs and hides 30 ft south and 24 ft east of the base. skylar runs and hides 43 ft north and 12 ft west of the base. how far apart are skylar and reed?
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1 Answer

We can think of this as a graph. The base is the origin (0,0).

Distance east is the x coord and distance north is the y coord.

Distance west is negative x and distance south is negative y.

Reed’s final position is (24,-30) and Skylar’s is (-12,43).

The vertical distance between the two is 43-(-30)=73. The horizontal distance is 24-(-12)=36.

The straight line distance between is given using Pythagoras Theorem: √(36²+73²)=√6625=81.39 feet approximately.

 

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