document.write( "Question 554017: the terminal arm of angle ϴ passes through the point R(-15,-8)\r
\n" ); document.write( "\n" ); document.write( "determine the distance from the origin to point R\r
\n" ); document.write( "\n" ); document.write( "determine the exact value of sin ϴ to the nearest tenth of a degree \r
\n" ); document.write( "\n" ); document.write( "can you please answer those 2 questions, i am stuck on them and can you show your work so i can learn from them, \r
\n" ); document.write( "\n" ); document.write( "thank you \n" ); document.write( "
Algebra.Com's Answer #361167 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
the terminal arm of angle ϴ passes through the point R(-15,-8)
\n" ); document.write( "Draw a line segment connecting (0,0) and (-15,-8)
\n" ); document.write( "That is the hypotenuse of a right triangle with sides equal
\n" ); document.write( "to 15 and 8
\n" ); document.write( "-------------------------------
\n" ); document.write( "determine the distance from the origin to point R
\n" ); document.write( "Use Pythagoras:
\n" ); document.write( "d = sqrt[15^2+8^2] = 17
\n" ); document.write( "-------------------------------------
\n" ); document.write( "determine the exact value of sin ϴ to the nearest tenth of a degree
\n" ); document.write( "sin(theta) = opposite/hypotenuse = -8/17 =-0.4706
\n" ); document.write( "theta = sin^-1(-8/17) = 180-28.07 = 151.9 degrees
\n" ); document.write( "=========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "--------- \n" ); document.write( "
\n" );