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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. h = negative 10 sine (startfraction pi over 15 endfraction t) 35 h = negative 10 sine (pi t) 35 h = 10 sine (startfraction pi over 15 endfraction t) 35 h = 10 sine (pi t) 35

Sagot :

Answer:

it is c

Step-by-step explanation:

:)

The sine equation is  [tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex]  an option (c) is correct.

It is given that 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.

It is required to model the sine equation.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We know the standard equation for the sine equation:

[tex]\rm y = Asin(wx)+h[/tex]

Where [tex]\rm T=\frac{2\pi}{w}[/tex]

[tex]\rm w = \frac{2\pi}{30}[/tex]   ( In one minute, they complete two rotations.)

[tex]\rm w = \frac{\pi}{15}[/tex]  ( T = 30)

At time t=0, the blade is horizontal. Hence, at t = 0, h = 35

And A = 10

Put all the values in the sine equation:

[tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex]

Thus, the sine equation is  [tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex] an option (c) is correct.

Know more about trigonometry here:

brainly.com/question/26719838

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