SOLUTION: A carnival Ferris wheel with a radius of 5.5 m and axle 7 m above the ground, makes one complete revolution every 24 seconds. a) Draw a graph to show how a person’s height above

Algebra ->  Trigonometry-basics -> SOLUTION: A carnival Ferris wheel with a radius of 5.5 m and axle 7 m above the ground, makes one complete revolution every 24 seconds. a) Draw a graph to show how a person’s height above       Log On


   

Question 1118998: A carnival Ferris wheel with a radius of 5.5 m and axle 7 m above the ground, makes one complete revolution every 24 seconds.
a) Draw a graph to show how a person’s height above the ground varies with time, starting when the person gets on to the Ferris wheel at its lowest point.
b) Find an equation for the graph.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The equation is:
+h%28t%29+=+-5.5cos%28+2pi%2At%2F24+%29+%2B+7+
At +t=0+, +h%28t%29+=+1.5+
At +t=12+, +h%28t%29+=+12.5+
At +t=24+, +h%28t%29+=+1.5+
So, the equation gives the right results
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+graph%28+600%2C+400%2C+-48%2C+48%2C+-5%2C+15%2C+-5.5cos%28+%28pi%2F12%29%2Ax+%29+%2B+7+%29+