
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
At noon, a 15-foot tree casts a shadow that is 18 feet long. At the same time, a nearby house casts a shadow that is 72 feet long. What is the height of the house, in feet, assuming the sun's rays create similar angles with the ground for both the tree and the house?

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