document.write( "Question 234954: At 12:22 a clock's hour hand is how many degrees away from a vertical position?
\n" ); document.write( "a) 10° b) 11° c) 12° d) 21° e) 22° \n" ); document.write( "

Algebra.Com's Answer #173164 by jsmallt9(3758) $\"\"$ $\"About$

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First, we'll figure out where the hour hand is pointing. As a full hour passes, from 12 o;clock to 1 o'clock, the hour hand moves from the 12 to the 1 (i.e. \"5 minutes\" on the clock). In 22 minutes the hour hand will move:
\n" ); document.write( " $\"%2822%2F60%29%2A5+=+22%2F12+=+11%2F6\"$ \"minutes\" on the clock.
\n" ); document.write( "Since 11/6 is almost 2, the hour hand will be pointing at almost the 2 minute mark on the clock.

\n" ); document.write( "What angle is the hour hand at if it is pointing at 11/6 minutes? Well a whole circle is 360 degrees and a whole hour is 60 minutes. So we can set up a proportion to solve the problem.
\n" ); document.write( "Let x = the angle of the hour hand. Then
\n" ); document.write( " $\"%2811%2F6%29%2F60+=+x%2F360\"$
\n" ); document.write( "Now we just solve this. There are many ways. One way would be be multiply both sides by 60. This eliminates the fraction-within-a-fraction on the left:
\n" ); document.write( " $\"11%2F6+=+x%2F6\"$
\n" ); document.write( "Now we can multiply both sides by 6 giving:
\n" ); document.write( " $\"11+=+x\"$
\n" ); document.write( "So the answer is 11 degrees (b) \n" ); document.write( "

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