document.write( "Question 813612: Having trouble with the following word problem. I would greatly appreciate any help with finding the solution.\r
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document.write( "When the angle of elevation of the sun is 52 degrees, a telephone pole that is tilted 10 degrees directly away from the sun casts a shadow that is 32 ft. long on level ground. Approximate the length of the pole. \n" );
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Algebra.Com's Answer #489844 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! When the angle of elevation of the sun is 52 degrees, a telephone pole that is tilted 10 degrees directly away from the sun casts a shadow that is 32 ft. long on level ground. \n" ); document.write( " Approximate the length of the pole. \n" ); document.write( ": \n" ); document.write( "Draw a triangle the represents this \n" ); document.write( "The base = 32 ft \n" ); document.write( "The angle 52 degrees from the ground to the top of the pole to the sun (opposite the pole) \n" ); document.write( "The pole is tilted 10 degrees from the being vertical, therefore the angle with the ground = 80 degrees. \n" ); document.write( "Find the third angle: 180 - 80 - 52 - 48 degrees (opposite the base of 32') \n" ); document.write( "let h = the height of the poles \n" ); document.write( "Using the law of sines we have \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "sin(48)*h = 32*sin(52) \n" ); document.write( "Find the sines on the calc \n" ); document.write( ".743h = 32 * .788 \n" ); document.write( "h = \n" ); document.write( "h = 34 ft is the height of the pole \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Did this make sense to you? \n" ); document.write( " \n" ); document.write( " |