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? Use complete sentences to justify your answer.

Question

Mathematics

Seamus Mathis

25 September, 20:09

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? Use complete sentences to justify your answer.

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Camila Downs · Answer 1

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)