SOLUTION: the cape Hatteras lighthouse on the outer banks of north Carolina is the tallest lighthouse in north america. if a 5 foot woman casts a 12 foot shadow and the lighthouse casts a 54

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Question 1032571: the cape Hatteras lighthouse on the outer banks of north Carolina is the tallest lighthouse in north america. if a 5 foot woman casts a 12 foot shadow and the lighthouse casts a 54 foots shadow, approximately how tall is the cape Hatteras lighthouse

Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
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the cape Hatteras lighthouse on the outer banks of north Carolina is the tallest lighthouse in north america.
if a 5 foot woman casts a 12 foot shadow and the lighthouse casts a 54 foots shadow, approximately how tall is the cape Hatteras lighthouse
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

It is about similar triangles . . . 

Solve the proportion  =  for the unknown height  "x" of the Hatteras lighthouse, and you will get 

x =  = . . . 

But of course, calculate it yourself.

---------------------------------------------

Thanks to the other tutor pointing in non-realistic input to this problem.


Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
[My wife and I climbed to the top of that very Lighthouse 
just last summer.]

This is not a realistic problem at all, for that lighthouse 
is 193 feet high.  Look it up!  Your problem as stated would make it 
one of the shortest lighthouses in North America! :)



The lady above has all but solved it for you.  I'll give you another
problem:

The Cape Hatteras lighthouse on the outer banks of North 
Carolina is the tallest lighthouse in north america. It 
is 193 feet high.  If the Cape Hatteras lighthouse casts 
a 54-foot shadow, how long is the shadow of a 5 foot woman 
standing on the ground in the vicinity of the lighthouse?







 feet approximately.

If the problem were realistic, that's how short the woman's 
shadow would be, not 12 feet.

Edwin


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