document.write( "Question 1173231: Two boats leave a harbour at the same time and head out at an angle of 35o to each other. Boat A is travelling at 45 km/h and boat B is travelling at 52 km/h. How far apart are the two boats after two hours? \n" ); document.write( "
Algebra.Com's Answer #798426 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
Two boats leave a harbour at the same time and head out at an angle of 35o to each other.
\n" ); document.write( "Boat A is travelling at 45 km/h and boat B is travelling at 52 km/h.
\n" ); document.write( "How far apart are the two boats after two hours?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            The problem is to find the third side of a triangle,  given its two sides and the angle between them.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            It is based on using the cosine law.  The Pythagorean formula,  used by @ewatrrr,  is  IRRELEVANT.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "One  side of the triangle is the traveled distance by boat A: it is  a = 45*2 = 90 km.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Over side of the triangle is the traveled distance by boat B: it is  b = 52*2 = 104 km.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The third side, according to the cosine law, is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    d = \"sqrt%28a%5E2+%2B+b%5E2+-+2%2Aa%2Ab%2Acos%2835%5Eo%29%29\" = \"sqrt%2890%5E2+%2B+104%5E2+-+2%2A90%2A102%2A0.81933%29\" = 62.234 km.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  In two hours, the boats are  62.234 km apart.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Do not accept any different answer.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Ignore the post by  @ewatrrr,  since her solution is  INCORRECT.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );