document.write( "Question 1063506: Can someone prove to me why tan (47.3 degrees) = 13/15? When I draw a right triangle and label the sides, I do not get tan = 13/15. Is this because we don't have a right triangle here? \r
\n" ); document.write( "\n" ); document.write( "For a right triangle, hypotenuse is 13, the longer arm is 12, and shortest side is 5. The remaining two angles are 45 degrees each. So, tan (45 degrees) in right triangle = opp/adj = sin/cos = 12/5 (assuming I drew the longer side across from 45 degree angle). \r
\n" ); document.write( "\n" ); document.write( "I guess this is why my standard set up for 45 degree angle in 45-45-90 triangle did not come out, because we don't have this triangle. (One of the angles in my triangle is 47.3 degrees). \r
\n" ); document.write( "\n" ); document.write( "Here is the question I was trying to answer:
\n" ); document.write( "arctan(13/12)=47.3 degrees.
\n" ); document.write( "Which of the following is true?
\n" ); document.write( "I said:
\n" ); document.write( "theta=47.3 degrees, therefore, tan(47.3 degrees)=13/12.
\n" ); document.write( "So, if we take tan of 47.3 degrees, we get 13/12=1.08. \n" ); document.write( "

Algebra.Com's Answer #678620 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "arctan(13/15) = 40.9 degrees.\r
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