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Henry and his family are eating at a rotating restaurant at the top of a tower. The restaurant rotates clockwise 90° every 15 minutes. When the family sat down, their table was located at (-4, 4) in relation to the center of the restaurant. Where is their table located 30 minutes later, in relation to the center of the restaurant?

 Mar 30, 2015

Best Answer 

 #3
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30 minutes later, they would be located at (4,- 4)

To see this......note that they would have rotated (2 x 90) degrees = 180 degrees in 30 minutes

And (-4, 4) is located on the line  y = -x

And since a line is a straight angle measuring 180 degrees, then (4, -4) is also on this line, rotated 180 degrees from (-4, 4)

 

  

 Mar 30, 2015
 #1
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0

It might be (4,8). 

 Mar 30, 2015
 #2
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sorry idk that one.

 Mar 30, 2015
 #3
avatar+129850 
+5
Best Answer

30 minutes later, they would be located at (4,- 4)

To see this......note that they would have rotated (2 x 90) degrees = 180 degrees in 30 minutes

And (-4, 4) is located on the line  y = -x

And since a line is a straight angle measuring 180 degrees, then (4, -4) is also on this line, rotated 180 degrees from (-4, 4)

 

  

CPhill Mar 30, 2015

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