Question

A ferris wheel with a diameter of 60 feet takes 35 seconds to make a rotation. If Jason rides the ferris wheel for 1 minute and 24 seconds, through what angle, in degrees, does he rotate?

Answer 1

To calculate the angle through which Jason rotates on the ferris wheel, divide the duration of the ride (84 seconds) by the time for one rotation (35 seconds) to find the number of rotations, and then multiply that by 360 degrees to find the total angle of rotation.

Step-by-step explanation:

The student has asked to calculate the angle through which Jason rotates after riding a ferris wheel for 1 minute and 24 seconds. The ferris wheel takes 35 seconds to make one complete rotation and has a diameter of 60 feet. Since one complete rotation is 360 degrees, we need to find out how many complete rotations occur in 1 minute and 24 seconds (which is 84 seconds).

First, we calculate the number of rotations by dividing 84 seconds by 35 seconds:

Number of Rotations = 84 seconds / 35 seconds

Then, we multiply the number of rotations by 360 to get the total angle in degrees:

Angle in Degrees = Number of Rotations × 360°

We perform these calculations to provide Jason with the exact angle through which he rotates during his ferris wheel ride.