Step 1 :The Ferris wheel is a circle with a diameter of 34 meters, so the radius is 17 meters.
Step 2 :The center of the Ferris wheel is 20 meters above the ground (3 meters for the platform and 17 meters for the radius of the wheel).
Step 3 :Therefore, the part of the Ferris wheel that is higher than 24 meters above the ground is the part where the height of the seats is more than 4 meters above the center of the wheel (24 meters - 20 meters = 4 meters).
Step 4 :This corresponds to an angle of \(\arcsin(\frac{4}{17})\) in radians above and below the horizontal line through the center of the wheel.
Step 5 :We can calculate this angle, multiply by 2 (for the part of the wheel above and below the horizontal line), convert to degrees (since there are 360 degrees in a full circle), and then calculate the proportion of the 10-minute ride that is spent at this height.
Step 6 :Final Answer: The number of minutes of the ride spent higher than 24 meters above the ground is \(\boxed{0.76}\).