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Solve the above math problem.Let’s donate the height of tree and owl as TO and height of owl as O and height of tree as 200+O.



Let's break down the problem to find the height of the owl (O) and the height of the tree (T).

### From the image:
1. In the first diagram (left), the owl is sitting on the tree, and the combined height of the tree and the owl is 230 units.
   \[
   T + O = 230 \quad \text{(Equation 1)}
   \]
2. In the second diagram (right), the owl is sitting on the ground, and the tree alone has a height of 200 units.
   \[
   T = 200 + O \quad \text{(Equation 2)}
   \]

### Solving the equations:
We have two equations:
1. \( T + O = 230 \)
2. \( T = 200 + O \)

Substitute \( T = 200 + O \) from Equation 2 into Equation 1:

\[
(200 + O) + O = 230
\]

This simplifies to:
\[
200 + 2O = 230
\]

Solve for \( O \):
\[
2O = 230 - 200
\]
\[
2O = 30
\]
\[
O = 15
\]

Now, substitute \( O = 15 \) into Equation 2 to find \( T \):
\[
T = 200 + 15 = 215
\]

### Final Answer:
- The height of the owl (O) is **15 units**.
- The height of the tree (T) is **215 units**.

Would you like more details or have any questions?

### Related Questions:
1. How can you verify the solution by substituting back into the original equations?
2. What would happen if the height of the tree was 10 units less?
3. Can this problem be solved graphically? How would the equations look on a graph?
4. What if the owl was twice as tall? How would the equations change?
5. How can we represent this situation using inequalities?

**Tip:** Substituting solutions back into the original equations is a great way to verify the accuracy of your results.

Find the height of the owl and tree based on the combined heights of 230 and 200 units.

Learn how to find the height of an owl and tree using linear equations. With given heights of 230 and 200 units, this step-by-step guide will help you solve for both the owl's and the tree's heights. Suitable for Grades 6-8.

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