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Question

round to nearest tenth if necessary. use pythagorean theorym. "Three ballet dancers are positioned on stage. Denise is straight behind Ella and directly left of Alex. If Ella and Denise are 2 feet apart, and Alex and Ella are 8 feet apart, what is the distance between Denise and Alex? If necessary, round to the nearest tenth."

Answer 1

Denise --------------Alex

    |

    |

    |

    |   2 ft

    |

  Ella

 

 

I have drawn the diagram to represent a right triangle.  The distance between Ella and Alex is the hypotenuse of the triangle.

 

distance between Denise and Alex = √(8² - 2²) ft

 

 

Finish up here.

Answer 2

c^(2)=a^(2)+b^(2)->AE^(2)=DE^(2)+AD^(2)

 

8^(2)=2^(2)+AD^(2)->64=4+AD^(2)

 

60=AD^(2)->sqrt(60)=AD->7.7=AD;