document.write( "Question 1152309: A 6-foot man, standing in front of a 15-foot lamppost, casts a shadow of 8 feet. If he steps another 3 feet away from the lamppost, how much will his shadow lengthen?
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Algebra.Com's Answer #774329 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Draw this \n" ); document.write( "The man and his shadow are 6 and 8 feet \n" ); document.write( "The lamp and the total shadow of the lamp is 15 and x feet. \n" ); document.write( "This is a proportion, and the shadow of the lamp is 20 feet, and the distance the man is from the lamp is 20 feet - his shadow or 12 feet\r \n" ); document.write( "\n" ); document.write( "When the man steps further away, he is still 6 feet and the lamp still is 15 feet. \n" ); document.write( "The man's shadow is x feet long and he is 15 feet from the lamp. \n" ); document.write( "The lamp's shadow is therefore x+15 feet \n" ); document.write( "so the proportion is 6/15=x/(x+15) \n" ); document.write( "This is 6x+90=15x \n" ); document.write( "9x=90 \n" ); document.write( "x=10 feet, man's shadow. \n" ); document.write( "It lengthened 2 feet. \n" ); document.write( " |