document.write( "Question 274698: Two ships leave port at the same time. One sails south at 15mph and the other sails east at 2o mph. Find a function that models the distance (D) between the ships in terms of the time (T) in hours elasped since thier departure.\r
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document.write( "I have solved in the followinf way and don't understand where I've gone wrong. I'm coming up with a different answer than what's in my textbook.\r
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document.write( "(By Pathagorean Therom)\r
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document.write( "D= 15(t) squared + 20(t) squared.\r
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document.write( "D(T) = 35(t) squared.\r
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document.write( "My textbook says that the answer is D(T) = 25T.\r
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document.write( "How are they getting this solution? Where am I going wrong? Please help! \n" );
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Algebra.Com's Answer #200425 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Two ships leave port at the same time. One sails south at 15mph and the other sails east at 2o mph. Find a function that models the distance (D) between the ships in terms of the time (T) in hours elasped since thier departure. \n" ); document.write( "-------------------- \n" ); document.write( "Draw the picture. \n" ); document.write( "East distance = 20t \n" ); document.write( "South distance = 15t \n" ); document.write( "------------------------------- \n" ); document.write( "Using Pythagoras: \n" ); document.write( "D^2 = (20t)^2 + (15t)^2 \n" ); document.write( "--- \n" ); document.write( "D^2 = 400t^2 + 225t^2 \n" ); document.write( "--- \n" ); document.write( "D^2 = 625t^2 \n" ); document.write( "---- \n" ); document.write( "D = 25t \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |