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 degreesIt takes 30 minutes.It rotates (360/30) = 12 degrees every minute.In 12 minutes, 1 seat will rotate (12 x 12) = 144 degrees.============================================A slightly different way to do it:1 rotation = 360 degreesIt takes 30 minutes.12 minutes = (12/30) = 0.4 of a complete rotation.0.4 of 360 degrees = (0.4 x 360) = 144 degrees============================================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-minutesDivide each side by '30 minutes':'x' degrees = (12 x 360 degree minutes) / 30 minutes = 144 degrees

360/30=12 degrees per 1 minute12minutes times 12 degrees equals 144 degrees.