document.write( "Question 52251This question is from textbook
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document.write( ": I need some help on this problem. I have tried and tried to figure it out. Here's the question. A telephone pole is 45 ft. tall. A guy wire is attached to the top of the pole and makes a 45 degrees angle with the ground. What is the length of the guy wire? \n" );
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Algebra.Com's Answer #34831 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! The telephone pole make a right angle with the ground so we can use right triangle trigonometry. This can be done a few ways:\r \n" ); document.write( "\n" ); document.write( "We make use of the fact that sin(angle)=opposite/hypotenuse. \n" ); document.write( "Let x be the guide wire and we have: \n" ); document.write( "sin(45)=45ft/x \n" ); document.write( "xsin(45)=x45ft/x \n" ); document.write( "xsin(45)=45ft \n" ); document.write( "xsin(45)/(sin(45))=45ft/(sin(45)) (Use calculator or sqrt(2)/2) \n" ); document.write( "x=45ft/(.7071) \n" ); document.write( "x=63.64ft\r \n" ); document.write( "\n" ); document.write( "If you are required to use the pythagorean theorem only, both legs are equal for 45 degree angles and the Pythagorean Theorem states hypotenuse^2=leg^2+leg^2 \n" ); document.write( "x^2=45^2+45^2 \n" ); document.write( "x^2=2025+2025 \n" ); document.write( "x^2=4050 \n" ); document.write( "sqrt(x^2)=sqrt(4050) \n" ); document.write( "x=63.64 ft \n" ); document.write( " \n" ); document.write( " |