document.write( "Question 1150136: before rock climbing, Fernando, who’s 5.5 ft tall, wants to know how high he will climb. He places a mirror on the ground and walks six feet backward until he can see the top of the cliff in the mirror.
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Algebra.Com's Answer #771498 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "Let T be the top of the cliff, R the base of the cliff, M the mirror, \r\n" );
document.write( "F the point where she’s standing, and E her eye. \r\n" );
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document.write( "The angle of incidence equals the angle of reflection, so the triangles △TRM and △EFM are similar. \r\n" );
document.write( "It implies that if the height of the cliff is h feet, then\r\n" );
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document.write( "From the proportion,  h =  = 31.166 ft is the height of the cliff.    ANSWER\r\n" );
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document.write( "You use the statement from Physics that \r\n" );
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document.write( "    The angle of incidence equals the angle of reflection for light rays, \r\n" );
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document.write( "and the theorem from Geometry stating that \r\n" );
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document.write( "    if right angled triangles have congruent acute angles, then the triangles are similar\r\n" );
document.write( "    and their corresponding legs are proportional.                               \r\n" );
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