The blades of a wind turbine are 135 feet long and are attached to the top of a 262-foot tower. The turbine completes 17 revolutions per minute. Suppose the tip of one of the blades starts at its maximum height above the ground. Which function represents the height, in feet, of the tip of this blade after t minutes?

The function represents the height, in feet, of the tip of this blade after t minutes is h = 135sin(π3.5t)+262. Then the correct option is A.

What is a function?

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

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

h = Asin(xt) + B, where:

B- The initial height of the blade above the ground.

A- The amplitude of the length of the blade.

x - period.

The initial height is 262 ft, therefore, B = 262ft. The amplitude of the length of the blade is 135ft. Therefore, A = 135.

The period is two rotations every minute, therefore the period should be:-

x =60/17

x = 3.5π

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

h = 135sin(π3.5t)+262

Hence, the correct option is A.

The complete options are given below:-

A. h = 135sin(π3.5t)+262

B. h = 262sin(π3.5t)+135

C. h = 3.5sin(π262t)+135

D. h = 135sin(π262t)+ 3.5

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