document.write( "Question 45030: A roof rises 2.75 feet over a horizontal distance of 10.69 feet. What is the slope of the roof to the nearest hundredth? \n" ); document.write( "
Algebra.Com's Answer #29844 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! Use the Pythagorian Theorem to solve: \n" ); document.write( "a^2 + b^2 = c^2 \n" ); document.write( "a=10.69 [horizontal distance] \n" ); document.write( "b=2.75 [rise of the roof] \n" ); document.write( "c = unknown [slope of the roof, the hypothenuse] \n" ); document.write( ". \n" ); document.write( "(10.69)^2 + (2.75)^2 = c^2 [Plug-in the values] \n" ); document.write( "114.2761 + 7.5625 = c^2 [Solve] \n" ); document.write( "121.8386=c^2 \n" ); document.write( "sqrt121.8386 = sqrtc^2 [Take the square root of each side to find \"c\"]] \n" ); document.write( "11.038 = 11.04 = c \n" ); document.write( ". \n" ); document.write( "Checkiing the answer: \n" ); document.write( "(10.69)^2 + (2.75)^2 = (11.038)^2 \n" ); document.write( "121.830 = 121.838 Checks out.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |