document.write( "Question 1205037: What is the number of degrees in the smaller angle formed by the hands of a clock at $8:55$? \n" ); document.write( "

Algebra.Com's Answer #841643 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "What is the number of degrees in the smaller angle formed by the hands of a clock at 8:55 ?
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document.write( "The angular rate of rotation of the hour hand is 360 degrees in 12 hours, \r\n" );
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document.write( "    or   = 30 degrees per hour =  = 0.5 degree per minute.\r\n" );
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document.write( "The angular rate of rotation of the minute hand is 360 degrees in 1 hour, or  = 6 degrees per minute.\r\n" );
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document.write( "At 8:55, the greater angle of the minute hand with the position 12:00 o'clock is 6*55 = 330 degrees.\r\n" );
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document.write( "         the greater angle of the hour hand with the position 12:00 o'clock is 8*30 + 55*0.5 = 267.5 degrees.\r\n" );
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document.write( "Your answer is the difference  330 - 267.5 = 62.5 degrees.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, with explanations.\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar (and different) problems on angles between clock hands, look into the lessons\r
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\n" ); document.write( "\n" ); document.write( " - Advanced clock problems\r
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\n" ); document.write( "\n" ); document.write( "Learn the subject and the method from there.\r
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\n" ); document.write( "\n" ); document.write( "The meaning of this task is not to take / (to find) a formula ready to use and plug in the numbers.\r
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\n" ); document.write( "\n" ); document.write( "The meaning is to deduce the necessary formulas and to learn and to understand on HOW TO do it.\r
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