The ferris wheel at the landmark navy pier in chicago takes 7 minutes to make one full rotation. the height, h, in feet, above the ground of one of the six-person cars can be modeled by , where t is time, in minutes. using for one full rotation, this car's minimum height, in feet, is

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The answer is 10 feet.  The ferris wheel at the landmark navy pier in chicago takes 7 minutes to make one full rotation. the height, h, in feet, above the ground of one of the six-person cars can be modeled by , where t is time, in minutes. using for one full rotation, this car's minimum height, in feet, is 10 feet. 
70(-1)+80
-70+80 = 10

The Ferris wheel at the landmark navy pier in Chicago takes 7 minutes to make one full rotation. This gives car's minimum height is 10 feet.

What is range of modeled sine function?

As the value of a function which is modeled in sine function vary from -1 to +1. The range of modeled sine function is from [-1,+1]

Given information-

The Ferris wheel at the landmark navy pier in Chicago takes 7 minutes to make one full rotation.

The function of height (h) modeled is in the sine function.

The time (t) is in minutes.

In the given function for the height for the time and height graph the sine function is in the product with the number 70.

As the value of sine function varies from -1 to +1. Thus the maximum height of the car should be at +1 value of sine and the minimum height of the car should be at -1 value of sine.

Thus for the minimum height the value of sine must be -1. As function is in the product with the number 70. Thus the value will of height will be,

H(t)=70(-1)+80

H(t)=10

Thus, this car's minimum height is 10 feet.

Learn more about the range of sine function here;

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