document.write( "Question 1204504: A ferris wheel is 24m in diameter Nd boardered from a platform that is 1m above ground and people entering th platform at height of 1m. The wheel completes one revolution in 10mins.
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Algebra.Com's Answer #840793 by ikleyn(52848) $\"\"$ $\"About$

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\n" ); document.write( "A ferris wheel is 24m in diameter Nd boardered from a platform that is 1m above ground
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\n" ); document.write( "For how long is the wheel above 20m height in one cycle
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document.write( "The radius of the wheel is 24/2 = 12 m.\r\n" );
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document.write( "The center of the wheel is at the height 1 + 12 = 13 m above the ground.\r\n" );
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document.write( "If \"a\" is the angle of the radius with the horizontal, then the set of values \"a\"\r\n" );
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document.write( "that are above 20 m over ground is  sin(a) >= .\r\n" );
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document.write( "So,  \"a\" is between   = 35.7 degrees and  180 - 35.7 = 144.3 degrees.\r\n" );
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document.write( "This arc between 35.7 degrees and 144.3 degrees is about  144.3 - 35.7 degrees = 108 degrees (rounded).\r\n" );
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document.write( "Thus the time for the passenger to be higher than 20 m over the ground is  \r\n" );
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document.write( "     =  = 10*0.3 = 3 minutes, approximately.\r\n" );
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document.write( "ANSWER. 3 minutes, approximately.\r\n" );
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