A restaurant occupying the top floor of a skyscraper rotates as diners enjoy the view. Ling and Sarah notice that they began their meal at 7:00 P.M. looking due north. At 7:45 P.M. they had rotated 180° to a view that was due south. At this rate, how many degrees will the restaurant rotate in 1 hour?
A.) 90°
B.) 180°
C.) 240°
D.) 270°
E.) 400°
A.) 90°
B.) 180°
C.) 240°
D.) 270°
E.) 400°
Set up a proportion.
The restaurant rotated 180° in 45 minutes. You need to find how many degrees it would rotate in 60 minutes.
180° x°
-------------- = -------------- {set up a proportion}
45 minutes 60 minutes
10,800 = 45x {cross-multiplied}
x = 240 {divided each side by 45}
C.) 240°
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The restaurant rotated 180° in 45 minutes. You need to find how many degrees it would rotate in 60 minutes.
180° x°
-------------- = -------------- {set up a proportion}
45 minutes 60 minutes
10,800 = 45x {cross-multiplied}
x = 240 {divided each side by 45}
C.) 240°
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