Answer:
The ride is above 22m in height for 1.33 minutes.
Explanation:
Let's first find the height required above the boarding platform for the ride to be 22 m above the ground:
Height required = 22 - 5 = 17 m
We can now, using a right angled triangle of height equal to the Ferris wheel radius, calculate the angle from the vertical axis to achieve this height:
Height of triangle = 15 - (17 - 15) = 13 m
Hypotenuse of triangle = radius = 15 m
Angle from the vertical:
Cos( Angle ) = base / hypotenuse = 13 / 15
Angle = 29.92 °
Multiplying this angle by 2 we get the total angle through which the ride is at the required height:
Total Angle = 29.92 * 2 = 59.85 °
To take out the time we can now simply multiply the ratio of this angle /360 by the time taken for one complete revolution:
Time = [tex]\frac{59.85}{360} * 8[/tex]
Time = 1.33 minutes
