document.write( "Question 1182020: a point B is 8km from point A on a bearing of 140 degrees from A. Point C is 9km from A on a bearing of 200 degrees from A. How far is B from C? \n" ); document.write( "
Algebra.Com's Answer #812337 by Boreal(15235) You can put this solution on YOUR website! Draw this triangle with AB=8 an AC=9. \n" ); document.write( "Angle A is 60 degrees, because the angle from AB to the South line is 40 degrees and there is 20 more degrees to reach AC. \n" ); document.write( "Use the law of cosines. \n" ); document.write( "side a^2 opposite to angle A=b^2+c^2-2bc CosA \n" ); document.write( "=64+81-2(72)*0.5 \n" ); document.write( "=145-72 \n" ); document.write( "=73 km^2 \n" ); document.write( "a=8.544 km, and this is the distance between B and C. \n" ); document.write( " |