document.write( "Question 390901: There are two lamp posts (A and B) both 9.6m tall.
\n" ); document.write( "When a man 1.6m tall stand X meters in front of lamp post A, his shadow casted by lampost B just touches the base of lampost A.
\n" ); document.write( "The man then walks towards lamp post B for 12m and his shadow, casted by lamp post A, just touches the base of Lamp post B.
\n" ); document.write( "What is the length of the man's shadow (show all working out)?
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Algebra.Com's Answer #277429 by ankor@dixie-net.com(22740)\"\" \"About 
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There are two lamp posts (A and B) both 9.6m tall.
\n" ); document.write( "When a man 1.6m tall stand X meters in front of lamp post A, his shadow casted
\n" ); document.write( " by lampost B just touches the base of lampost A.
\n" ); document.write( "The man then walks towards lamp post B for 12m and his shadow, casted by lamp
\n" ); document.write( " post A, just touches the base of Lamp post B.
\n" ); document.write( "What is the length of the man's shadow.
\n" ); document.write( ":
\n" ); document.write( "We can use the rule of similar right triangles here
\n" ); document.write( "The sides of the large triangle formed by the light pole (9.6) and the dist
\n" ); document.write( "between the poles, (2x+12)
\n" ); document.write( ":
\n" ); document.write( "The sides of the small triangle formed by the man (1.6) and the dist from
\n" ); document.write( "him to the light pole, x
\n" ); document.write( ":
\n" ); document.write( "A ratio equation
\n" ); document.write( "\"9.6%2F1.6\" = \"%282x%2B12%29%2Fx\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "9.6x = 1.6(2x+12)
\n" ); document.write( "9.6x = 3.2x + 19.2
\n" ); document.write( "9.6x - 3.2x = 19.2
\n" ); document.write( "6.4x = 19.2
\n" ); document.write( "x = \"19.2%2F6.4\"
\n" ); document.write( "x = 3 meters is the guys shadow
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