We are doing trig functions in math right now and i was wondering what is the realtionship between time/angle?

Answer 1

It's about 15 degrees.

One day is 360 deg rotation and 24 hours

360/24 = 15 deg

It's a good sign that you think of such questions.

Next time you get around a globe, look for the Analemma. It's that figure 8 thingy. Sometimes called 'the equation of time' it gives the difference between solar noon and clock noon vs seasons. Note how it crosses at the equinoxes.

This figure-8 path that the sun makes in the sky is called the analemma. ... It is simply the sum of these two effects that causes the analemma. ...
www.analemma.com/Pages/framesPage.html - 46k - Cached - More from this site - Save

The maximum difference between solar noon and clock noon is about 15 minutes.

Latitude is easy to figure out. Getting longitude requires time. There's a book and PBS special about the search for a timepiece that could be used on ships so that they'd know the time adequately enough to know their longitude. (this is back in the days of sailing vessels, before radio, the 1700 -1800s)

Answer 2

I assume you are wondering why we have angles in degrees, and minutes (60 per degree) and seconds (60 per minute). There is some ancient historical reason for this that made sense at the time, but if you are doing angle work, here are a couple of different ideas. We customarily measure angles in degrees, minutes, and seconds. Our math tables and calculators are usually set up for that. Scientists, on the other hand, like to use Radians (abbrev. "rad") of which there are (2 * pi) [that would be about 6.28] per circle. Many scientific calculators offer that. Europeans have another system call "grads" of which there are 400 to a circle. Their system makes more sense for navigation, since you add or subtract 200 for reciprocal headings. Clear? Well, not to me.

Answer 3

I'm not sure what you mean. Are you talking about vectors? Angle of shadows at different times of the day, or of the earth at different times of the year? Or maybe the fact that "Minutes" and "Seconds" are coincidentally unit names of both time and angle width. In angle measure, a minute is 1/60 of a degree, and a second is 1/60 of a minute.