document.write( "Question 1190581: A utility pole is 8 m high. A cable is stretched from the top of the pole to a point in the ground that is 6 m from the bottom of the pole. How long is the cable?
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Algebra.Com's Answer #822277 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Assuming the pole is perfectly vertical, and the ground is completely horizontal, then a right triangle forms.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = 8 = vertical leg \n" ); document.write( "b = 6 = horizontal leg \n" ); document.write( "c = unknown hypotenuse\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Apply the pythagorean theorem \n" ); document.write( "a^2 + b^2 = c^2 \n" ); document.write( "c = sqrt(a^2 + b^2) \n" ); document.write( "c = sqrt(8^2 + 6^2) \n" ); document.write( "c = sqrt(64+36) \n" ); document.write( "c = sqrt(100) \n" ); document.write( "c = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: The cable is 10 meters long. \n" ); document.write( " \n" ); document.write( " |