document.write( "Question 451819: Two drivers leave home at the same time and travel on straight roads that diverge by 70 degrees. One driver travels at an average speed of 83.0 km/h. The other driver travels at an average speed of 95.0 km/h. How far apart will the two drivers be after 45 min? \n" ); document.write( "
Algebra.Com's Answer #310809 by ankor@dixie-net.com(22740)\"\" \"About 
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Two drivers leave home at the same time and travel on straight roads that diverge by 70 degrees.
\n" ); document.write( "One driver travels at an average speed of 83.0 km/h.
\n" ); document.write( "The other driver travels at an average speed of 95.0 km/h.
\n" ); document.write( " How far apart will the two drivers be after 45 min?
\n" ); document.write( ":
\n" ); document.write( "Convert 45 min to .75 hrs
\n" ); document.write( ":
\n" ); document.write( "Let A = 70 degrees
\n" ); document.write( "then
\n" ); document.write( "a = distance between the cars after 45 min
\n" ); document.write( "b = .75(83) = 62.25 km
\n" ); document.write( "c = .75(95) = 71.25 km
\n" ); document.write( ":
\n" ); document.write( "Use the law of cosines
\n" ); document.write( "a^2 = b^2 + c^2 - 2bc*cos(A)
\n" ); document.write( "a^2 = 62.25^2 + 71.25^2 - 2(62.25*71.25)*cos(70)
\n" ); document.write( "a^2 = 3875.0625 + 5076.5625 - 2(4435.3125)*.34202
\n" ); document.write( "a^2 = 8951.625 - 3033.9324
\n" ); document.write( "a = \"sqrt%285917.6926%29\"
\n" ); document.write( "a = 76.92 km apart after 45 min \n" ); document.write( "
\n" );