document.write( "Question 165413This question is from textbook
\n" ); document.write( ": Two ships leave port, one sailing east and the other south. Some time later they are 17 mi apart, with the eastbound ship 7 mi farther from port than the southbound ship. How far is each from port? \n" ); document.write( "
Algebra.Com's Answer #121917 by ankor@dixie-net.com(22740)\"\" \"About 
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Two ships leave port, one sailing east and the other south. Some time later they are 17 mi apart, with the eastbound ship 7 mi farther from port than the southbound ship. How far is each from port?
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\n" ); document.write( "This is a right triangle problem
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\n" ); document.write( "Let x = distance from port of the southbound ship (one side of a right triangle)
\n" ); document.write( "then
\n" ); document.write( "(x+7) = distance from port of the eastbound ship (2nd side of a right triangle)
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\n" ); document.write( "Distance between them = 17 mi (hypotenuse of the triangle)
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\n" ); document.write( "x^2 + (x+7)^2 = 17^2
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\n" ); document.write( "x^2 + x^2 + 14x + 49 = 289
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\n" ); document.write( "2x^2 + 14x + 49 - 289 = 0
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\n" ); document.write( "2x^2 + 14x - 240 = 0
\n" ); document.write( "Simplify, divide equation by 2
\n" ); document.write( "x^2 + 7x - 120 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(x-8)(x-15) = 0
\n" ); document.write( "Positive solution
\n" ); document.write( "x = 8 distance from port of the southbound ship
\n" ); document.write( "and
\n" ); document.write( "8 + 7 = 15 mi distance of the eastbound ship
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\n" ); document.write( "Check on calc enter: sqrt(8^2+15^2) = 17 \n" ); document.write( "
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