
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
A mosquito was flying over water in a straight line at a constant speed of \( v = 0.5 \) m/s and eventually landed on the water's surface. 20 seconds before landing, it was at a height of \( h = 6 \) meters above the water's surface. The cosine of the angle of incidence of the sun's rays on the water's surface is 0.6. The incident sunray, which casts the mosquito's shadow, and its trajectory are in the same vertical plane. Determine the speed with which the mosquito's shadow moved across the bottom of the water body.

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