document.write( "Question 892705: Reduce angles in terms of π and decimal
\n" ); document.write( "1.) 145⁰
\n" ); document.write( "2.) 10⁰ 14'
\n" ); document.write( "3.) 56⁰ 13' 4\"\r
\n" ); document.write( "\n" ); document.write( "thank you!!!!!
\n" ); document.write( "

Algebra.Com's Answer #540716 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
It helps to draw the angle on
\n" ); document.write( "a unit circle, approximately
\n" ); document.write( "------------------------
\n" ); document.write( "1)
\n" ); document.write( "145 degrees is 35 degrees short
\n" ); document.write( "of 180 degrees
\n" ); document.write( "( \"+145+=+180+-+35+\" )
\n" ); document.write( "and
\n" ); document.write( "I can use \"+pi+%2F+180++=+1+\" radian / degrees
\n" ); document.write( "as a multiplier without changing values
\n" ); document.write( "\"+%28+pi%2F180+%29%2A180+-+%28+pi%2Fi80+%29%2A35+\"
\n" ); document.write( "\"+pi+-+%28+35%2F180+%29%2Api+\"
\n" ); document.write( "\"+pi+-+.1944%2Api+\"
\n" ); document.write( "\"+.8055%2Api+\"
\n" ); document.write( "--------------------
\n" ); document.write( "2)
\n" ); document.write( "Note that 1' is \"+%281%2F60%29%2A1+\" degree
\n" ); document.write( "\"+%28+14%2F60+%29%2A%28+pi%2F180+%29+\" = ( fraction of a degree )x( radians/degree )
\n" ); document.write( "\"+%28+7%2F30+%29%2A%28+pi%2F180+%29+\"
\n" ); document.write( "\"++%28+7%2F5400+%29%2Api+=+.001296%2Api+\"
\n" ); document.write( "and
\n" ); document.write( "\"+%28+10+%29%2A%28pi%2F180+%29+=+.0555%2Api+\"
\n" ); document.write( "\"+.0555%2Api+%2B+.001296%2Api+\"
\n" ); document.write( "\"+.05685%2Api+\"
\n" ); document.write( "-----------------------------------
\n" ); document.write( "3)
\n" ); document.write( "4\" is \"+4%2F360+\" of a degree ( \"+4%2A%281%2F60%29%2A%281%2F60%29+\"
\n" ); document.write( "\"+%28+4%2F360+%29%2A%28+pi%2F180+%29+%0D%0A%7B%7B%7B+%28+1%2F90+%29%2A%28+pi%2F180+%29+\"
\n" ); document.write( "\"+%28+1%2F16200+%29%2Api+\"
\n" ); document.write( "\"+.000061728%2Api+\"
\n" ); document.write( "and
\n" ); document.write( "\"+%28+13%2F60+%29%2A%28+pi%2F180+%29+\"
\n" ); document.write( "\"+%28+13%2F10800+%29%2Api+\"
\n" ); document.write( "\"+.0012037%2Api+\"
\n" ); document.write( "and
\n" ); document.write( "\"+56%2A%28+pi%2F180+%29+\"
\n" ); document.write( "\"+.31111%2Api+\"
\n" ); document.write( "adding up:
\n" ); document.write( "\"+%28+.000061728+%2B+.0012037+%2B+.31111+%29%2Api+\"
\n" ); document.write( "\"+.3124%2Api+\" ( more decimal points available )
\n" ); document.write( "--------------
\n" ); document.write( "check my math\r
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