document.write( "Question 616924: if one leg of a 30, 60 ,90 degree triangle has a length of 6 and the adjacent angel is 30 , what is the exact length of the hypotenuse in simplest radical form \n" ); document.write( "
Algebra.Com's Answer #387998 by dragonwalker(73)![]() ![]() ![]() You can put this solution on YOUR website! As it has an angle that is 90 degrees it is a right-angle triangle and therefore cosine, sine and tangent can be used to find the angles.\r \n" ); document.write( "\n" ); document.write( "As the side that is 6 long is adjacent to the known angle of 30 you can use cosine:\r \n" ); document.write( "\n" ); document.write( "(Cosine (angle) = adjacent/hypotenuse\r \n" ); document.write( "\n" ); document.write( "so:\r \n" ); document.write( "\n" ); document.write( "Cos 30 = 6/h where h is the unknown hypotenuse.\r \n" ); document.write( "\n" ); document.write( "reaarange by moving the h to the other side by multiplying both sides by h:\r \n" ); document.write( "\n" ); document.write( "Cos 30 x h = 6\r \n" ); document.write( "\n" ); document.write( "and then move the Cos 30 by dividing both sides by Cos 30:\r \n" ); document.write( "\n" ); document.write( "h = 6/ Cos 30\r \n" ); document.write( "\n" ); document.write( "now calculate using the cos function:\r \n" ); document.write( "\n" ); document.write( "h = 6.93\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |