Respuesta :
The number of minutes of the ride that are spent higher than 22 meters above the ground is; 2.64 minutes
How to find the number of revolutions?
We are given;
bottom of the Ferris Wheel is 4 meters off the ground.
Radius = diameter/2 = 24/2; r = 12 meters.
Thus, the center of the Ferris Wheel is 4 + 12 = 16 meters off the ground.
A horizontal line through the center of the Ferris Wheel is 16 meters off the ground, and therefore the lower half of the Ferris Wheel is always below 22meters.
The distance from the horizontal to 22 meters is 22 - 16 = 6 meters.
The angle between the horizontal and a radius to 22 meters is;
sin(θ) = 6/16
θ = sin⁻¹(6/16)
θ = 22.02°.
This angle height is on both sides of the Ferris Wheel and as such;
180° + (2 * 22.02) = 224.04° is always under 16 meters.
Thus, what is above 16 meters is 360° - 224.04° = 135.96°
Since it takes 7 minutes for 1 revolution, then the amount of time the Ferris Wheel is above 16 meters is;
(135.96/360) * 7 min ≈ 2.64 minutes
Read more about Number of Revolutions at; https://brainly.com/question/4371139
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