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The blades of a windmill turn on an axis that is 35 feet above the ground. The blades are 10 feet long and complete two rotations every minute. Which of the following equations can be used to model h, the height in feet of the end of one blade, as a function of time, t, in seconds? Assume that the blade is pointing to the right, parallel to the ground at t = 0 seconds, and that the windmill turns counterclockwise at a constant rate.

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Answer:

h = 10sin(Ļ€15t)+35

Step-by-step explanation:

The height of the blade as a function f time can be written in the following way:

h = Asin(xt) + B, where:

B represets the initial height of the blade above the ground.

A represents the amplitud of length of the blade.

x represents the period.

The initial height is 35 ft, therefore, B = 35ft.

The amplotud of lenth of the blade is 10ft, therefore A = 10.

The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15Ļ€

Finally the equation that can be used to model h is:

h = 10sin(Ļ€15t)+35

Answer-Ā C.) h = 10sin(Ļ€/15t)+35

Step-by-step explanation-

The equation should be equal expressed asĀ C.) h = 10sin(Ļ€15t)+35 where 35 represents the initial height of the blade above the ground. TheĀ 15Ļ€Ā represents the period. It is said that the blades complete two rotations every minute. Hence the period should be 60/4 equal to 15. 10 represents the amplitude of length of the blades.

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