Algebra.Com's Answer #829812 by ikleyn(52802)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "A Ferris wheel is 29 meters in diameter and boarded from a platform that is 1 meter above the ground.
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document.write( "The six o’clock position on the Ferris wheel is level with the loading platform.
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document.write( "The wheel completes 1 full revolution in 16 minutes. The function h(t) gives a person’s height
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document.write( "in meters above the ground t minutes after the wheel begins to turn.\r
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document.write( "(a) Find the amplitude, midline, and period of h(t).
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document.write( "(b) Assume that a person has just boarded the Ferris wheel from the platform
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document.write( " and that the Ferris wheel starts spinning at time t=0 .
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document.write( " Find a formula for the height function h(t) .\r
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document.write( "(c) If the Ferris wheel continues to turn, how high off the ground is a person after 60 minutes?
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document.write( "(a) The amplitude A is equal to the radius of the wheel, i.e. A = 29/2 = 14.5 meters.\r\n" );
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document.write( " Midline is the height of the center of the wheel  , i.e. 1 + 14.5 = 15.5 meters.\r\n" );
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document.write( " The period T is the time of one revolution, i.e. T = 16 minutes.\r\n" );
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document.write( "(b) The plot of the function h(t) is a cosinusoid taken with the \"-\" (minus) sign\r\n" );
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document.write( " h(t) = - + ,\r\n" );
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document.write( " where A is the amplitude, T is the period, t is the current time and is \r\n" );
document.write( " the midline's vertical coordinate.\r\n" );
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document.write( " With the given data, the equation is\r\n" );
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document.write( " h(t) = - meters.\r\n" );
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document.write( "(c) 60 minutes is 12 minutes after three full revolution;\r\n" );
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document.write( " the ratio  is  of the period, so the height of the wheel at 60 minutes is\r\n" );
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document.write( " h(60) = - = - = 0 + 15.5 = 15.5 meters.\r\n" );
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document.write( " The position of the person is 3/4 of the cycle on the Ferris wheel circumference,\r\n" );
document.write( " so the height of the person over the ground is the same as the height of the center of \r\n" );
document.write( " the wheel over the ground.\r\n" );
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document.write( "Solved.\r
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