
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Determine the height of a tree. On a horizontal ground, two points A and B are selected (points A, B, and the bottom of the tree are on the same straight line). The angles of elevation to the top of the tree from points A and B are measured to be $30^{\circ}$ and $45^{\circ}$, respectively. The distance between points A and B is $60m$. The height of the tree is \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_

Present the answer in LaTex format: \boxed{Your answer}
user