document.write( "Question 1147591: In ∆ABC, m∠C = 90º, m∠A = 50º, AB = 35. Find the length of the altitude CH.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #768988 by ikleyn(52914)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "In triangle ABC, you are given the hypotenuse AB = 35 units and two adjacent angles A of 50°  and B of 40°.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then one leg is  35*sin(50°)  and the other leg is 35*sin(40°).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The area of the triangle is then  A = \"%281%2F2%29%2A35%5E2%2Asin%2840%5Eo%29%2Asin%2850%5Eo%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the other side, the area of the triangle is  A = \"%281%2F2%29%2A35%2Aabs%28CH%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the equation\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    \"%281%2F2%29%2A35%5E2%2Asin%2840%5Eo%29%2Asin%2850%5Eo%29\" = \"%281%2F2%29%2A35%2Aabs%28CH%29\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "you have  | CH | = 35*sin(40°)*sin(50°).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Use your calculator if you want to get the numerical value.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Ignore the post by @josgarithmetic, since it is infinitely far from to be a true solution.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );