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°**

**Ask Algebra House**