document.write( "Question 1209173: sandy is trying to measure the height of a nearby flagpole using a mirror. The mirror is 6m away from the flagpole and 2 m away from sandy. If sandy is 1.5m tall how tall is the flagpole? \n" ); document.write( "

Algebra.Com's Answer #847762 by ikleyn(52879) $\"\"$ $\"About$

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\n" ); document.write( "sandy is trying to measure the height of a nearby flagpole using a mirror.
\n" ); document.write( "The mirror is 6 m away from the flagpole and 2 m away from sandy.
\n" ); document.write( "If sandy is 1.5 m tall how tall is the flagpole?
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document.write( "In the Figure below,  AB represents the flagpole;  CD represents Sandy  and  ====  represents the mirror.\r\n" );
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document.write( "The rays of light are shown by points.\r\n" );
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document.write( "According to the optics law  (the reflection law),  angle  AMB  is equal to angle  CMD, \r\n" );
document.write( "so the right-angled triangles  AMB  and  CMD  are similar.\r\n" );
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document.write( "From the triangles similarity, we have this proportion   = .\r\n" );
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document.write( "Substituting the given values there, we have   = , where x is the height of the flagpole.\r\n" );
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document.write( "It gives the solution for the tree's flagpole  x =  = 3*1.5 = 4.5 meters.\r\n" );
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document.write( "ANSWER.  The height of the flagpole is 4.5 meters.\r\n" );
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document.write( "                    B\r\n" );
document.write( "                    +\r\n" );
document.write( "                    |  .\r\n" );
document.write( "                    |     .\r\n" );
document.write( "                    |         .                       D\r\n" );
document.write( "                    |            .                    o\r\n" );
document.write( "                    |                .             . _|_\r\n" );
document.write( "                    |                   .       .   / | \\r\n" );
document.write( "                    |                      . .        |\r\n" );
document.write( "                    +---------------------=====------/ \--\r\n" );
document.write( "                    A                       M         C\r\n" );
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document.write( "                                  F i g u r e \r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "For other similar problem just solved in this site, see the lesson\r
\n" ); document.write( "\n" ); document.write( " - Using proportions to solve word problems in Geometry \r
\n" ); document.write( "\n" ); document.write( "(Problem 1), with full explanations and illustration.\r
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\n" ); document.write( "\n" ); document.write( "Learn the subject from there.\r
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