SOLUTION: A horse on a carousel rises 80cm and then descends again exactly 8 times for each time the carousel revolves once. If the horse begins rising when the carousel starts, how high wil

Algebra ->  Test -> SOLUTION: A horse on a carousel rises 80cm and then descends again exactly 8 times for each time the carousel revolves once. If the horse begins rising when the carousel starts, how high wil      Log On


   

Question 865432: A horse on a carousel rises 80cm and then descends again exactly 8 times for each time the carousel revolves once. If the horse begins rising when the carousel starts, how high will it be when the carousel is 2/3 of the way around?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I can say that the horse goes from +0+ cm
to +80+ cm and back to +0+ when the
carousel makes +1%2F8+ of a revolution.
That is also +3%2F24+ of a revolution.
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+2%2F3+=+16%2F24+ revolution of the carousel
is when you want to know where the horse is.
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+%28+16%2F24+%29+%2F+%28+3%2F24+%29+=+16%2F3+ is the number
of cycles from +0+ back to +0+ that
the horse makes in +2%2F3+ revolution of the
carousel.
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+16%2F3+=+5+%2B+1%2F16+, so there is +1%2F16+
of a cycle of the horse left over after +5+
complete cycles.
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+1%2F16+ is less than +1%2F2+, so it's on
it's way up. +1%2F16+ of the whole cycle is
+1%2F8+ of the half-cycle ( zero to 80 )
+%281%2F8%29%2A80+=+10+ cm
The horse will be 10 cm high
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Hope I got it