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Use (7.11) to help find the time of day (solar time) at which the sun will be du

ID: 1813683 • Letter: U

Question

Use (7.11) to help find the time of day (solar time) at which the sun will be due West.




equation 7.11 is:


If cos H is equal or greater than tan  delta / tan L   than   the azimuth angle is equal or less than 90 degrees

otherwise the azimuth angle is greater than 90 degrees


L = Latitude = 47 degrees

Azimuth Angle = due west = -90 degrees

delta = 23.45 (as its the solstice)


H = hour angle = 15 degrees/hour * hours before solar noon. aka at 11am (solar time), H = +15 degrees. 2pm  would be -30 degrees


Other (possibly) helpful equations:


Beta sub N = 90 degrees - L + delta  (at solar noon)


sin(beta) = cos(L) * cos(delta) * cos(H) + sin(L) * sin(delta)





Please show how you arrived at your answer!

Explanation / Answer

beta=90-47+23.45=66.45 degrees


L=47

delta=23.45

so sin(beta) = cos(L) * cos(delta) * cos(H) + sin(L) * sin(delta)


putting the values ,we get H=0


so it will be at exact noon .

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