document.write( "Question 192912: A ship leaves port and proceeds west 30 miles. It then changes course to 020* until it is due north of its origin. How far north of it origin is it? \n" ); document.write( "
Algebra.Com's Answer #144864 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! heading is angle from true north.\r \n" ); document.write( "\n" ); document.write( "sketch a rough triangle, start at right angle on right side, west is horizontal line left, hypotenuse is 20 deg from north from left position . The required distance in along vertical line from initial position to intersection with hypotenuse. \r \n" ); document.write( "\n" ); document.write( "The 20 deg angle is also the vertex angle at top of triangle, by AIA.\r \n" ); document.write( "\n" ); document.write( "in short, tan 20 deg = 30 /x\r \n" ); document.write( "\n" ); document.write( "x=30/tan20=82.424. \n" ); document.write( " |