Final answer:
The range of possible distances between the Ferris Wheel and the Lazy Pool is from just over 60 yards to just under 740 yards, based on the properties of triangle side lengths.
Step-by-step explanation:
To determine the range of possible distances between the Ferris Wheel and the Lazy Pool at Wild Wonders
Amusement Park, we rely on the properties of triangles, where the sum of any two sides must be greater than the third side.
Since we know the Ferris Wheel is 340 yards away from the Bumper Cars, and the Bumper Cars are 400 yards from the Lazy Pool, we can use this information to calculate the possible range for the third side of the triangle.
The minimum distance between the Ferris Wheel and the Lazy Pool would be greater than the absolute difference between the two known sides, which is 400 yards - 340 yards = 60 yards.
The maximum distance would be less than the sum of the two known sides, which is 340 yards + 400 yards = 740 yards.
Therefore, the range of possible distances between the Ferris Wheel and the Lazy Pool is from just over 60 yards to just under 740 yards.