document.write( "Question 1112965: Can someone help? Thank you.
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document.write( "A ship leaves port and travels along a bearing of S 25 degree W for 18km, then turns on a bearing of S 65 degree E for 25km.
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document.write( "a. How far from port is this ship at the end of these two legs of the trip?
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document.write( "b. On what bearing must the ship travel to return to port? \n" );
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Algebra.Com's Answer #728051 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! If this is drawn out, it is a right triangle with legs of 18 and 25 with the hypotenuse the distance from port \n" ); document.write( "hypot^2+18^2+25^2=949 \n" ); document.write( "hypot=30.81 km \n" ); document.write( "The angle centered on the port has two parts, one the departure S 25 W, and the other the return bearing. \n" ); document.write( "The tangent of that angle equals 25/18, so the angle is 54.25 deg \n" ); document.write( "The bearing away from the port is S 29.25 deg E (the difference). The bearing is the reciprocal. \n" ); document.write( "Converting to degrees, the bearing away from the port is 150.75 deg, so the bearing towards the port is 330.75 deg or W 60.75 N. \n" ); document.write( " |