
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
The Egyptian Pyramid of Khufu is a regular quadrilateral pyramid \(ABCDS\) with a base edge \(a=231 \mathrm{~m}\) and height \(m=140 \mathrm{~m}\). A tourist climbs the pyramid starting from point \(A\), moving perpendicular to the side edge \(SB\). After reaching point \(B_1\) on edge \(SB\), the tourist continues perpendicular to edge \(DC\) to point \(C_1\), and so on. What will be the height of the tourist when they reach edge \(SA\) at point \(A_1\)? What is the angle of ascent of the tourist's path? What is the length of the path traveled to point \(A_1\)?

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