document.write( "Question 992287: If a ship is going 2.6 degrees off course and is traveling 16 mph, how off course is it going to be after 5 hrs. \n" ); document.write( "
Algebra.Com's Answer #611939 by Theo(13342)![]() ![]() You can put this solution on YOUR website! i believe you are dealing with an isosceles triangle. \n" ); document.write( "5 * 16 = 80 miles. \n" ); document.write( "the ship is going 80 miles in one direction when it should be going 80 miles in the other direction. \n" ); document.write( "the difference between the two directions is 2.6 degrees. \n" ); document.write( "that's an isosceles triangle with two legs of 80 miles each and a vertex of 2.6 degrees. \n" ); document.write( "the distance between the two points is the base of the isosceles triangle. \n" ); document.write( "drop a perpendicular and that divides the base into 2 equal parts. \n" ); document.write( "2 right triangles are formed, each with an angle of 1.3 degrees opposite its base. \n" ); document.write( "sin(1.3) = opposite / hypotenuse = x / 80 \n" ); document.write( "x is the opposite. \n" ); document.write( "80 is the hypotenuse. \n" ); document.write( "sin(1.3) = x/80 \n" ); document.write( "solve for x to get x = 80 * sin(1.3) which makes x equal to 1.814986686 miles. \n" ); document.write( "that's half the distance between the two points. \n" ); document.write( "the distance between the two points will be 3.629973372 miles. \n" ); document.write( "that's how far away the ship will be from its intended destination.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |