document.write( "Question 962473: The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of square root of 2 divided by 2?
\n" ); document.write( "What is the measure of the angle?\r
\n" ); document.write( "\n" ); document.write( "A)30 degrees
\n" ); document.write( "B)45 degrees
\n" ); document.write( "C)60 degrees
\n" ); document.write( "D)90 degrees \n" ); document.write( "

Algebra.Com's Answer #588065 by hkwu(60) $\"\"$ $\"About$

You can put this solution on YOUR website!
If x is the angle and
\n" ); document.write( " $\"cos%28x%29=sqrt%282%29%2F2\"$
\n" ); document.write( "then we have that
\n" ); document.write( " $\"adjacent%2Fhypotenuse=sqrt%282%29%2F2\"$
\n" ); document.write( "and so, if we recall our special triangle with legs length √2, and hypotenuse 2 (this is the same as the triangle with legs length 1 and hypotenuse length √2), we get that the angle is
\n" ); document.write( " $\"x=pi%2F4\"$
\n" ); document.write( "which is 45°. \n" ); document.write( "

\n" );