document.write( "Question 467076: the angle is 15, adjacent is 3 and opposite is 7 find the hypotenuse \n" ); document.write( "
Algebra.Com's Answer #320364 by Theo(13342) You can put this solution on YOUR website! an adjacent side of 3 and an opposite side of 7 leads to an angle of 66.80140949 degrees. \n" ); document.write( "you cannot have an angle of 15 degrees with an opposite side of 7 and an adjacent side of 3. \n" ); document.write( "i will assume your angle is 66.80140949 and solve for the hypotenuse. \n" ); document.write( "fyi, the angle was derived as follows: \n" ); document.write( "tangent (x) = opposite / adjacent = 7/3 = 2.3333333333333 \n" ); document.write( "arc tangent (2.333333333333) = 66.80140949 degrees. \n" ); document.write( "you can use either sine or cosine formula to find the hypotenuse. \n" ); document.write( "sine (66) = opposite / hypotenuse = 7 / hypotenuse \n" ); document.write( "this leads to hypotenuse = 7 / sine(66) which equals 7.615773106. \n" ); document.write( "cosine (66) = adjacent / hypotenuse = 3 / hypotenuse \n" ); document.write( "this leads to hypotenuse = 3 / cosine (66) which equals 7.615773106 \n" ); document.write( "both methods lead to a hypotenuse of 7.615773106. \n" ); document.write( "i do not know where you got the 15 degrees from. \n" ); document.write( "the tangent of 15 degrees is equal to .267949192 which cannot be duplicated by 7/3 or 3/7. \n" ); document.write( " \n" ); document.write( " |