document.write( "Question 1026869: 1)While crossing the Atlantic, sailors spot two mermaids 120° apart on each end of an island that is 6 miles away. How far apart are the mermaids around the outer edge of the island to the nearest tenth of a mile?
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document.write( "a)12.6 miles
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document.write( "b)3.1 miles
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document.write( "c)7.2 miles
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document.write( "d)20.2 miles\r
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document.write( "PLEASE HELP! \n" );
document.write( "
Algebra.Com's Answer #642163 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! While crossing the Atlantic, sailors spot two mermaids 120° apart on each end of an island that is 6 miles away. How far apart are the mermaids around the outer edge of the island to the nearest tenth of a mile? \n" ); document.write( "-------- \n" ); document.write( "Sketch the figure. \n" ); document.write( "You have an isosceles triangle with altitude = 6 miles \n" ); document.write( "and vertex angle = 120 degrees \n" ); document.write( "---- \n" ); document.write( "There are 2 60 degree angles at the vertex \n" ); document.write( "There are 2 right triangles. \n" ); document.write( "Find the side opposite one of the 60 degree angles:: \n" ); document.write( "tan(60) = base/6 \n" ); document.write( "base = 6*tan(60) = 6*sqrt(3) \n" ); document.write( "--- \n" ); document.write( "Ans: distance = 2(6*sqrt(3)) miles \n" ); document.write( "---------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-----------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a)12.6 miles \n" ); document.write( "b)3.1 miles \n" ); document.write( "c)7.2 miles \n" ); document.write( "d)20.2 miles \n" ); document.write( " |