document.write( "Question 993958: Two ships leave a dock at the same time at an angle of 45 degrees from one another. One sails at a rate of 40 mph, the other at 35 mph. How far apart are they in 2 hours time? \n" ); document.write( "
Algebra.Com's Answer #613140 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Use the law of Cosines and draw it. \n" ); document.write( "One leg is 80 (2 hours at 40 mph), the other 70, and the enclosed angle is 45 degrees.\r \n" ); document.write( "\n" ); document.write( "c^2=a^2+b^2-2abcosC; Cos C=sqrt(2)/2 \n" ); document.write( "c^2=6400+4900-2(80)(70)*sqrt(2)/2 \n" ); document.write( "=3380.4 mi^2 \n" ); document.write( "c=58.14 miles \n" ); document.write( " |