Calculating specific degrees when the sun is below the horizon given 3 other known values

Question

Hi all, I have a question that I'm unsure how to approach and I was hoping someone could help me.

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I'm trying to calculate the time when the Sun is 16.1 degrees below the Horizon.

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What We Know On October 5th, 2021, the following Twilight times were recorded (as they are every day):

Civil Twilight is calculated when the Sun is 6 degrees below the Horizon. That time is 6:29 AM
Nautical Twilight is calculated when the Sun is 12 degrees below the Horizon. That time is 5:57 AM
Astronomical Twilight is calculated when the Sun is 18 degrees below the Horizon. That time is 5:25 AM

Given the degrees and times above, is there a way for me to calculate what the time would be at 16.1 degrees?

TIA!

Please clarify your specific problem or provide additional details to highlight exactly what you need. As it's currently written, it's hard to tell exactly what you're asking. — Community, Oct 05 '21 at 22:57
@Community : "As it's currently written, it's hard to tell exactly what you're asking" : no it isn't. — user2661923, Oct 05 '21 at 23:03
The difference between the 1st and 2nd twilights is the same as the difference between the 2nd and 3rd, namely $32$ minutes. Therefore, it is reasonable to presume that the relation between degree of orbital rotation and time is linear. So the elapsed time after 5:25 am should be $\frac{1.9}{6} \times 32$ minutes. — user2661923, Oct 05 '21 at 23:07
You can't, because I am not allowed to post an answer here. This is because your question, as posted, has significant defects, re mathSE protocol. While I personally disagree with the protocol, I can't do anything about it. My comment was intended to spur your thinking. In fact, a case could be made that even as a comment, my response was inappropriate, because it left very little of the problem for you to attack on your own. — user2661923, Oct 06 '21 at 23:40