(Originais Teachy 2023) - Question Medium of Mathematics

Ana is a civil engineer who is designing an amusement park toy that goes up and down according to a trigonometric function. The toy goes up and down with a periodicity of 2 minutes. The movement of the toy can be described by the function h(t) = a sin(b(t-c)) + d, where 'a' is the amplitude, 'b' defines the period, 'c' is the horizontal phase, and 'd' is the vertical phase. Ana needs to design the toy so that it reaches a maximum height (amplitude) of 10 meters and is on the ground (vertical phase) when t = 0. Your question is: what is the function h(t) that describes the movement of the toy?