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?

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

Answered by AL2006 | 2024-06-10

360/30=12 degrees per 1 minute 12minutes times 12 degrees equals 144 degrees.

Answered by mrthurow | 2024-06-10

In 12 minutes, a cart on the London Eye rotates 144 degrees. This is calculated by knowing that it rotates 12 degrees per minute. Multiplying this by 12 gives the total rotation for the given time.
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Answered by AL2006 | 2024-08-09