Answered

The London Eye (a ferris wheel) makes one rotation in approximately 30 minutes. What is the measure of the angle (in degrees) that a cart (spoke on the wheel) will rotate in 12 minutes?

Answer :

360/30=12 degrees per 1 minute
12minutes times 12 degrees equals 144 degrees.
AL2006
1 rotation = 360 degrees
It takes 30 minutes.
It rotates (360/30) = 12 degrees every minute.

In 12 minutes, 1 seat will rotate (12 x 12) = 144 degrees.

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A slightly different way to do it:

1 rotation = 360 degrees
It takes 30 minutes.

12 minutes = (12/30) = 0.4 of a complete rotation.

0.4 of 360 degrees = (0.4 x 360) = 144 degrees

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A slightly different way to do it:

Set up the proportion:

(30 minutes / 360 degrees) = (12 minutes / 'x' degrees)

Cross-multiply the proportion:

30 x degrees-minutes = (12 x 360) degree-minutes

Divide each side by '30 minutes':

'x' degrees = (12 x 360 degree minutes) / 30 minutes = 144 degrees

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