Saturday

April 18, 2015

April 18, 2015

Posted by **Doug** on Monday, September 28, 2009 at 11:07pm.

I need to find what A, B, and C equal. Thanks.

- Math -
**drwls**, Monday, September 28, 2009 at 11:20pmThe sum of the length of the longest day and the shortest day should be 24 hours. The mean has to be 12.

Assuming instead that the numbers are 7 and 18, as your problem states, the formula would be

D (daylight hours) =

12.5 + 5.5 sin (2 pi t/365)

where t is measured in days from the vernal equinox (June 21 in the northern hemisphere)

If you want to measure t from January 1, you will have to do a transformation and include a cosine term

- Math (correction) -
**drwls**, Monday, September 28, 2009 at 11:22pmThe formula I gave is correct, but the vernal equinox (from which t is measured) is March 21.

**Answer this Question**

**Related Questions**

Trigonometry - The number of daylight hours in a day is harmonic. Suppose that ...

11th grade-Calculas - The number of hours of daylight D depends upon the ...

calculus - The number of hours of daylight D depends upon the latitude and the ...

Precalculus II - 1. The number of hours of daylight D(t) in Halifax at day t can...

math - In Philadelphia the number of hours of daylight on day t (where t is the ...

Math- Trigonometry - The flowering of many commercially grown plants in ...

physics - Estimate the time difference between the longest amount of daylight in...

Calculus Help - A model for the length of daylight (in hours) in Philadelphia on...

trig - A city averages 14 hours of daylight in June, 10 in December, 12 in both ...

Calc..Help Please - A model for the length of daylight (in hours) in ...