Question

a ferris wheel is boarding platform is 2 meters above the ground, has a diameter of 68 meters, and rotates once every 9 minutes. how many minutes of the ride are spent higher than 37 meters above the ground? round to three decimal places.

Answer 1

4.416 minutes

Explanation:

I assume the bottom of the Ferris wheel is at the height of the platform.

diameter = 68 m

radius = 34 m

platform height = 2 m

height of the center of the Ferris wheel = 36 m

36 m is 1 m above the center of the wheel

sin Θ = 1/34

Θ = 1.6854°

2Θ = 3.3708°

180° - 3.3708° = 176.6292°

176.6292/360 × 9 minutes = 4.416 minutes