document.write( "Question 503470: A tree is supported by a wire anchored in the ground 15 feet from its base. the wire is 4 feet longer then the height that it reaches on the tree. find the length f the wire? \n" ); document.write( "
Algebra.Com's Answer #339258 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! f = length of the wire \n" ); document.write( "f = hypotenuse of a right triangle \n" ); document.write( "a = base of the triangle \n" ); document.write( "a = 15 \n" ); document.write( "b = height of the triangle \n" ); document.write( "c = b+4 \n" ); document.write( ". \n" ); document.write( "f^2 = a^2 + b^2 \n" ); document.write( ". \n" ); document.write( "substitute \n" ); document.write( "(b+4)^2 = a^2 + b^2 \n" ); document.write( ". \n" ); document.write( "Recall a=15 \n" ); document.write( ". \n" ); document.write( "b^2 + 8b + 16 = 225 + b^2 \n" ); document.write( "subtract b^2 from both sides \n" ); document.write( "8b + 16 = 225 \n" ); document.write( "subtract 15 from both sides \n" ); document.write( "8b = 209 \n" ); document.write( "b = 26 1/8 \n" ); document.write( ". \n" ); document.write( "f = 30 1/8 \n" ); document.write( ". \n" ); document.write( "Always check your answer: \n" ); document.write( "f^2 = 58081/64 \n" ); document.write( " = 907.515625 \n" ); document.write( ". \n" ); document.write( "a^2 = 225 \n" ); document.write( "b^2 = 682.515625 \n" ); document.write( "a^2 + b^2 = 907.515625 \n" ); document.write( ". \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Re-read the question to determine what answer is required. \n" ); document.write( "What is the length of the wire? \n" ); document.write( "f = 30 1/8 ft \n" ); document.write( "f = 30.125 ft \n" ); document.write( ". \n" ); document.write( "Done \n" ); document.write( " |