document.write( "Question 639842: Ive been struggling for days to get the answer to this question:
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document.write( "A ferris wheel has a raidus of 20 m. Passengers get on halfway up on the right side. The direction of rotation is counter clockwise. The bottom of the ferris wheel is 2 m above ground. It rotates every 36 seconds.
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document.write( "I had to draw it and I think that is right, but I am not sure how to determine a sine function that expresses my height. when h is a function of elapsed time t.
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document.write( "I got h= -20sinpie/18(t)+22
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document.write( "And I am lost when they ask to determine my height above the ground after 15 seconds algebraically
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document.write( "and the the nearest tenth when my height is 38 m above the ground algebraically.
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document.write( "Please help. I can't do that following questions because I think my equation and graph is wrong! Thank you\r
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document.write( "Must be algebraically though thank you \n" );
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Algebra.Com's Answer #403141 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A ferris wheel has a raidus of 20 m. Passengers get on halfway up on the right side. The direction of rotation is counter clockwise. The bottom of the ferris wheel is 2 m above ground. It rotates every 36 seconds. Determine height above the ground after 15 seconds algebraically. Determine seconds to the nearest tenth when height is 38 m above the ground algebraically. \n" ); document.write( "** \n" ); document.write( "let t=seconds after wheel starts to rotate. \n" ); document.write( "let h=meters above ground after wheel starts to rotate \n" ); document.write( ".. \n" ); document.write( "The formula I got: h(t)=20sin(πt/18)+22 \n" ); document.write( "This is close to the formula you got, except I left the negative sign out since passengers start to rise after the wheel starts going counter-clockwise. \n" ); document.write( ".. \n" ); document.write( "After 15 seconds: \n" ); document.write( "h=20sin(15π/18)+22 \n" ); document.write( "=20sin(5π/6)+22 \n" ); document.write( "=20*(1/2)+22 \n" ); document.write( "=32 m \n" ); document.write( ".. \n" ); document.write( "When h=38 m \n" ); document.write( "38=20sin(πt/18)+22 \n" ); document.write( "38-22=20sin(πt/18) \n" ); document.write( "20sin(πt/18)=16 \n" ); document.write( "sin(πt/18)=16/20=4/5=.8 \n" ); document.write( "arcsin(.8)=0.927 \n" ); document.write( "πt/18=0.927 (radians) \n" ); document.write( "t=(.927*18)/π≈5.31 \n" ); document.write( ".. \n" ); document.write( "height above the ground after 15 seconds≈38 m \n" ); document.write( "seconds elapsed when height is 38 m above ground≈5.3 seconds \n" ); document.write( " |