Homework Help

After a storm, a tree lies as shown. What was the original height of the tree? (Round...

user profile pic

novjb | (Level 1) Salutatorian

Posted August 2, 2013 at 7:37 PM via web

dislike 1 like

After a storm, a tree lies as shown. What was the original height of the tree?

(Round to the nearest whole foot.)

I think x is about 56.0029 in. and y is about 112.0058 in.

So, x+y= 168.0058 in. or about 14 ft

The height is about 14ft. Is this right?

Thank you for the help.

Images:
This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)

1 Answer | Add Yours

user profile pic

tjbrewer | Elementary School Teacher | (Level 2) Associate Educator

Posted August 2, 2013 at 8:56 PM (Answer #1)

dislike 1 like

From your diagram, I believe that the Tree is now leaning along y, it's top now x inches above the ground, 97 in. from the base.  So y is the original height of the tree. 

If I knew what x was, I could determine y using the pythagorean theorem, but I don't know x.  If I new what angle the tree was leaning at, I could find x and y using trigonometry, but I'm not given any angles. 

If your finding that y is 112 in. is correct, then `112-:12~~9` So the tree was originally 9 feet tall. 

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes