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
\n" ); document.write( "\n" ); document.write( "Question\r
\n" ); document.write( "\n" ); document.write( "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( "(b) How much farther east will it have sailed when it is 30 km from the port?\r
\n" ); document.write( "\n" ); document.write( "Thank you
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Algebra.Com's Answer #208227 by stanbon(75887)\"\" \"About 
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
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\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.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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