document.write( "Question 164539: a radio tower located 18 miles north of a straight highway has a transmission radius of 33 miles. find x the length of the section of highway that is within the transmission radius of the tower.\r
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Algebra.Com's Answer #121238 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a radio tower located 18 miles north of a straight highway has a transmission \n" ); document.write( "radius of 33 miles. find x the length of the section of highway that is within \n" ); document.write( " the transmission radius of the tower. \n" ); document.write( ": \n" ); document.write( "If you draw this out, you can see that two right triangles are formed by the \n" ); document.write( " radii, the highway, and 18 mi. The radius will be the hypotenuse, the third \n" ); document.write( " side will be half the distance of the highway inside the transmission circle. \n" ); document.write( ": \n" ); document.write( "Let a = .5x \n" ); document.write( ": \n" ); document.write( "a^2 + 18^2 = 33^2 \n" ); document.write( ": \n" ); document.write( "a^2 + 324 = 1089 \n" ); document.write( ": \n" ); document.write( "a^2 = 1089 - 324 \n" ); document.write( ": \n" ); document.write( "a^2 = 765 \n" ); document.write( ": \n" ); document.write( "a = \n" ); document.write( "a = 27.6586 \n" ); document.write( ": \n" ); document.write( "x = 2*27.6586 \n" ); document.write( ": \n" ); document.write( "x = 55.317 mi is the highway \n" ); document.write( " \n" ); document.write( " |