Final answer:
The maximum height of the Ferris wheel is obtained by adding the amplitude of the sinusoidal function to the vertical shift, resulting in a maximum height of 10.73 meters, but this does not match the available options.
Step-by-step explanation:
The maximum height a chair on a Ferris wheel reaches, according to the equation y = 1.0sin(7.5x) + 9.73, can be determined by identifying the amplitude and the constant term in the equation. In this sinusoidal function, the amplitude is given by the coefficient of sine, which is 1.0 meters, and the constant term, which represents the vertical shift, is 9.73 meters. The maximum height of the chair on the Ferris wheel is achieved when the sine function reaches its maximum value, which is 1. Therefore, the maximum height is the sum of the amplitude and the constant term, 1.0 meters + 9.73 meters = 10.73 meters. However, this value is not listed in the given options, indicating a possible error in the question or the options provided.