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Three ballet dancers are positioned on stage. Ruth is $15$ feet straight behind Pablo and $20$ feet directly left of Chase. When the music begins, Ruth twirls to Chase's position, then leaps to Pablo's position, and finally walks back to her original position. How far did Ruth travel? $\newline$ _____ feet

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Pythagorean theorem

Full solution

Q. Three ballet dancers are positioned on stage. Ruth is

15

feet straight behind Pablo and

20

feet directly left of Chase. When the music begins, Ruth twirls to Chase's position, then leaps to Pablo's position, and finally walks back to her original position. How far did Ruth travel?

\newline

_____ feet

Twirl to Chase's position: Ruth twirls to Chase's position, which is $20$ feet away.
Leap to Pablo's position: Then Ruth leaps to Pablo's position. Since Ruth was originally $15$ feet behind Pablo, and she is now directly in line with Pablo from Chase's position, she travels another $15$ feet.
Walk back to original position: Finally, Ruth walks back to her original position, which is $15$ feet from Pablo's position.
Calculate total distance: Add up the distances Ruth traveled: $20$ feet to Chase, $15$ feet to Pablo, and $15$ feet back to her original position.
Calculate total distance: Total distance = $20 + 15 + 15$ .
Calculate total distance: Total distance = $50$ feet.

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