document.write( "Question 1037262: A kite has a string 100 m long anchored to the ground. The string makes an angle with the ground of 65 degrees. What is the horizontal distance of the kite from the anchor? \n" ); document.write( "
Algebra.Com's Answer #651955 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "Consider the question as a \n" ); document.write( "right angled triangle: \n" ); document.write( "Length of string = hypotenuse. \n" ); document.write( "Base of triangle = Distance \n" ); document.write( "from anchor to below the kite.= Adjacent side \n" ); document.write( "Height of kite above ground = Opposite side. \n" ); document.write( "Using Trig Ratios (SOHCAHTOA) \n" ); document.write( "Adjacent side = \n" ); document.write( "Cos(65) = Adjacent/ Hypotenuse \n" ); document.write( "Cos(65) = Adjacent/100 \n" ); document.write( "Adjacent = Cos(65) x 100 \n" ); document.write( "Adjacent = 42.26 m (2 decimal places) \n" ); document.write( "Height => Sin(65) = Opposite/Hypotenuse \n" ); document.write( "Sin(65) = Opposite/100 \n" ); document.write( "Opposite = Sin(65) x 100 \n" ); document.write( "Opposite = 90.63 m (2 decimal places) \n" ); document.write( "Horizontal distance = 42.26 m \n" ); document.write( "Vertical Distance = 90.63 m \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |