document.write( "Question 811541: I have a question i need to solve in my trig class\r
\n" );
document.write( "\n" );
document.write( "A ship sails N75degreesE for 90 nautical miles and then S10degreesW for 100 nautical miles. How far is the ship, then, from the starting point, and in what direction. \r
\n" );
document.write( "\n" );
document.write( "Could you help me out with this one \n" );
document.write( "
Algebra.Com's Answer #488822 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A ship sails N75degreesE for 90 nautical miles and then S10degreesW for 100 nautical miles. How far is the ship, then, from the starting point, and in what direction. \n" ); document.write( "Could you help me out with this one \n" ); document.write( "----------- \n" ); document.write( "End-point DATA:: \n" ); document.write( "x-coordinate: 90cos(75)+100cos(190) = -75.2 \n" ); document.write( "y-coordinate: 90sin(75)+100sin(190) = 69.6 \n" ); document.write( "-------- \n" ); document.write( "Distance from (0,0) starting point:: \n" ); document.write( "d = sqrt[75.2^2+69.6^2] = 102.4 nautica miles \n" ); document.write( "-------- \n" ); document.write( "Direction: \n" ); document.write( "arctan(69.6/-75.2) = 180-42.8 = 137.2 or W42.8degreesN \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |