Question 1150136
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Let T be the top of the cliff, R the base of the cliff, M the mirror, 
F the point where she’s standing, and E her eye. 


The angle of incidence equals the angle of reflection, so the triangles △TRM and △EFM are similar. 
It implies that if the height of the cliff is h feet, then


    {{{5.5/6}}} = {{{h/34}}}.


From the proportion,  h = {{{(34*5.5)/6}}} = 31.166 ft is the height of the cliff.    <U>ANSWER</U>


You use the statement from Physics that 

    The angle of incidence equals the angle of reflection for light rays, 



and the theorem from Geometry stating that 

    if right angled triangles have congruent acute angles, then the triangles are similar
    and their corresponding legs are proportional.                               
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