
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 water pipe is set up vertically, and water spouts from it to a height of $h = 15 \mathrm{~m}$.

a) What will be the path of the water jet if the wind blows with a velocity of $c = 16 \frac{\mathrm{m}}{\mathrm{sec}}$?

b) What is the maximum horizontal distance that the water jet can reach when there is no wind?

c) What is this distance when the aforementioned wind blows in the direction of the pipe's tilt?

d) What is the distance when the wind blows in the opposite direction of the pipe's tilt?

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