document.write( "Question 333017: A street has a parallel curbs 40 feet apart. A crosswalk bounded by two parallel
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document.write( "stripes crosses the street at an angle. The length of the curb between the stripes
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document.write( "is 15 feet and each stripe is 50 feet long. Find the distance between the stripes. \n" );
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Algebra.Com's Answer #238681 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A street has a parallel curbs 40 feet apart. \n" ); document.write( " A crosswalk bounded by two parallel stripes crosses the street at an angle. \n" ); document.write( "The length of the curb between the stripes is 15 feet and each stripe is 50 feet long. \n" ); document.write( " Find the distance between the stripes. Let this distance = a \n" ); document.write( ": \n" ); document.write( "If you draw this out, you will see a right triangle formed by the distance \n" ); document.write( "between the curbs (40') and one of the stripes (50)'which is the hypotenuse. \n" ); document.write( " Find the angle (A) made by the stripe with the curb using the sine. \n" ); document.write( "Sin(A) = \n" ); document.write( "A = 53.13 degrees \n" ); document.write( ": \n" ); document.write( "Another right triangle is formed by the curb distance between the stripes (15') \n" ); document.write( "and a perpendicular line (a) between the stripes, which is the distance between them. \n" ); document.write( "Sine of the same angle \n" ); document.write( "Sin(53.13) = \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "5a = 4(15) \n" ); document.write( "5a = 60 \n" ); document.write( "a = \n" ); document.write( "a = 12 ft between the stripes \n" ); document.write( " |