document.write( "Question 464476: two cars A and B start from the same point at the same time and travel along straight roads that from 60 degrees with each other.After two hours, car A has traveled 120km and car B 100km. How far apart are these cars after two hours? \n" ); document.write( "

Algebra.Com's Answer #318526 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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two cars A and B start from the same point at the same time and travel along
\n" ); document.write( " straight roads that from 60 degrees with each other.
\n" ); document.write( "After two hours, car A has traveled 120km and car B 100km.
\n" ); document.write( " How far apart are these cars after two hours?
\n" ); document.write( ":
\n" ); document.write( "We can use the law of cosines here: a^2 = b^2 + c^2 - 2(bc)*cos(A), where
\n" ); document.write( "A = 60 degrees
\n" ); document.write( "a = dist between the cars
\n" ); document.write( "b = 120 km
\n" ); document.write( "c = 100 km
\n" ); document.write( ":
\n" ); document.write( "a^2 = 120^2 + 100^2 - 2(120*100) * cos(60)
\n" ); document.write( "a^2 = 14400 + 10000 - 2(12000) * .5
\n" ); document.write( "a^2 = 24400 - 12000
\n" ); document.write( "a^2 = 12400
\n" ); document.write( "a = $\"sqrt%2812400%29\"$
\n" ); document.write( "a = 111.355 miles apart \n" ); document.write( "

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