# 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....

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.

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### 1 Answer

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.