SOLUTION: To find the height of a flagpole, Ana places a mirror on the ground 12 meter from the base of a flagpole. Ana’s eyes are 1.7 meter from the ground. When Ana stands 1.5 meter fr

Algebra ->  Triangles -> SOLUTION: To find the height of a flagpole, Ana places a mirror on the ground 12 meter from the base of a flagpole. Ana’s eyes are 1.7 meter from the ground. When Ana stands 1.5 meter fr      Log On


   



Question 1179787: To find the height of a flagpole, Ana places a mirror on the ground 12 meter from the base of
a flagpole. Ana’s eyes are 1.7 meter from the ground. When Ana stands 1.5 meter from the
mirror, she can see the top of the flagpole. How tall is the flagpole? Use similarity triangles to
find the height of the flagpole.

Answer by ikleyn(52772) About Me  (Show Source):
You can put this solution on YOUR website!
.

Make a sketch.


In the sketch, find similar triangles.


For similar triangles, write a proportion saying that their corresponding sides are proportional


    x%2F12 = 1.7%2F1.5.


From the proportion, find the unknown value of  x = %281.7%2A12%29%2F1.5.


At this point, use your calculator.

Have a fun doing so nice problem (!)

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On proportions,  see the lessons
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    - OVERVIEW of lessons on proportions
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