anonymous
  • anonymous
Igor who is 4ft 8inches tall wishes to find the height of an oak tree in front of his castle. He walks along the shadow of the tree until the end of his shadow excatly overlaps the end of the tree's shadow. At that point he is 22ft from the foot of the tree and 11ft from the end of the shadows. How tall is the oak tree? help would be amazing!!<33
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
What do you not understand?
anonymous
  • anonymous
I could give you the answer but I'd like to help you learn how to solve these questions so you won't need help again.
anonymous
  • anonymous
Well I don't understand how to draw the picture, the word probblems are weird to me

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anonymous
  • anonymous
Ok I will draw and attach sketches step by step.
anonymous
  • anonymous
thanks so much!
anonymous
  • anonymous
No problem, so first it says Igor is 4 feet and 8 inches tall. So draw a line from the "ground" and label its measure as 4 feet and 8 inches.
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anonymous
  • anonymous
He wants to find the height of the oak tree, we'll make another line to the ground and label it X because we don't know what it is yet.
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anonymous
  • anonymous
mkay yeah
anonymous
  • anonymous
gotcha what next?
anonymous
  • anonymous
So it would be 4.8/11=x/11?
anonymous
  • anonymous
Whoops I misread something! I apologize! And no it's not 4.8 because it's 8 out of 12 inches not 8 out of 10.
anonymous
  • anonymous
So what would the equation be?
anonymous
  • anonymous
Ok first you understand the the height of the tree will be similar to the height of the man?
anonymous
  • anonymous
yes
anonymous
  • anonymous
Ok the sketch will actually look like the following and I will explain:
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anonymous
  • anonymous
He follows the shadow until the end of his shadow is at the same point as the end of the tree's shadow. In this process he has moved 22 feet in front of the tree.
anonymous
  • anonymous
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anonymous
  • anonymous
From where he stands, the shadows end 11 feet away from him.
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anonymous
  • anonymous
Now, see the 2 similar triangles?
anonymous
  • anonymous
Tell me what you think the ratio of similarity should be.
anonymous
  • anonymous
maybe 56/132=x/132?
anonymous
  • anonymous
Good guess but no. If you look closely, you can see that to find the bottom side measurement of the larger triangle you must add 11 feet + 22 feet.
anonymous
  • anonymous
So the tree's shadow is actually 33 feet long.
anonymous
  • anonymous
and the man's is 11 feet long.
anonymous
  • anonymous
So, in inches the similarity should be: 56/132 = x/396 Make sense?
anonymous
  • anonymous
oh okay I see!:) thanks so much!!!
anonymous
  • anonymous
I'm glad I could help :)
anonymous
  • anonymous
Don't forget to convert the answer back to feet after you've finished!
anonymous
  • anonymous
oh i totally forgot thanks!

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