The height above the ground of a rider on a Ferris wheel can be modelled by the sinusoidal function h=4sin(3.44t+0.58)+13 where hℎ is the height of the rider above the ground, in metres, and t is the time, in minutes, after the ride starts Based on the sinusoidal function, the maximum height of the rider above the ground, to the nearest meter, is

To find the maximum height of the rider above the ground based on the sinusoidal function, we need to look at the amplitude and vertical shift of the function.

The general form of a sinusoidal function is:  

                               $f(t)=Asin(Bt+C)+D$

 Where:  

 A is the amplitude, which determines the height of the oscillation.  

 B is the angular frequency, which controls the rate of oscillation.  

C is the phase shift, which shifts the entire waveform left or right along the time axis.  

D is the vertical shift, which moves the entire waveform up or down along the vertical axis.

The maximum height formula from the ground for a sinusoidal function in the general form;

                         $\text{Maximum Height}=A+D$