document.write( "Question 287260: hello can you help me with a step by step approach with the aid of a diagram for the following question.\r
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document.write( "Question\r
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document.write( "A ship sail 12 km due north of a port and then sails 14 km due east.
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document.write( "(a) How far is the ship from the port?
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document.write( "(b) How much farther east will it have sailed when it is 30 km from the port?\r
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document.write( "Thank you \n" );
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Algebra.Com's Answer #208227 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A ship sail 12 km due north of a port and then sails 14 km due east. \n" ); document.write( "(a) How far is the ship from the port? \n" ); document.write( "Draw the picture. \n" ); document.write( "You have a right triangle with a north leg of 12 and an east leg of 14 \n" ); document.write( "Use Pythagoras to find the hypotenuse: \n" ); document.write( "h^2 = 12^2 + 14^2 \n" ); document.write( "h = sqrt(340) \n" ); document.write( "hypotenuse = distance from port = 18.44 km \n" ); document.write( "================================================= \n" ); document.write( "(b) How much farther east will it have sailed when it is 30 km from the port? \n" ); document.write( "Draw the picture. \n" ); document.write( "You have a right triangle with a north leg of 12, an east leg of \"x\" \n" ); document.write( "and a hypotenuse of 30 \n" ); document.write( "---- \n" ); document.write( "30^2 = 12^2 + x^2 \n" ); document.write( "x^2 = 30^2-12^2 \n" ); document.write( "x^2 = 756 \n" ); document.write( "x = 27.5 km \n" ); document.write( "------------------------------ \n" ); document.write( "It will have sailed 27.5-14 = 13.5 km further east. \n" ); document.write( "===================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |