
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
Xiao Ming wants to measure the height of a tree next to his house using the shadows cast by the tree. However, due to the terrain, a portion of the tree's shadow falls on a wall. At a certain moment, he measures that the part of the shadow on the ground is 1.4 meters long, while the height of the shadow on the wall is 1.2 meters. Additionally, he measures the shadow cast by a stone sphere with a diameter of 1.2 meters in the yard to be 0.8 meters long (the maximum distance between the point of contact of the sphere with the ground and the edge of the shadow on the ground). Based on this information, find the height of the tree if sunlight can be considered to travel in parallel rays.

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