Noon Sun Angle = 90 – Zenith Angle Instructions: complete ...
Noon Sun Angle Worksheet
Name
Equinox
Equinox
Solstice
Solstice
Date
March 22nd
September 22nd
June 22nd
December 22nd
Name
Subsolar Point (Latitude where the sun is overhead at noon)
0o
0o
23.5? N
23.5? S
Noon Sun Angle = 90 ¨C Zenith Angle
Zenith Angle = latitude where you are at ¡À subsolar point
If the subsolar point and your latitude are in the same hemisphere, subtract.
If the subsolar point and your latitude are in different hemispheres, add.
Note: if you get a negative number, it means that no sunlight is received at that time of year¡ or it is
dark for 24 hours, use 0o as your answer.
Instructions: complete the table.
Problem
Time of Year
Subsolar
Point
Example
September 22
1
Equinox
23.5?N
90 ¨C
=
2
March 22
80?N
90 ¨C
=
3
September 22
80?S
90 ¨C
=
4
June 22
80?N
90 ¨C
=
5
June 22
80?S
90 ¨C
=
6
June 22
0?
90 ¨C
=
7
December 22
80?S
90 ¨C
=
8
December 22
80?N
90 ¨C
=
9
December 22
23.5 ?S
90 ¨C
=
10
March 22
34?N
90 ¨C
=
11.
June 22
34?N
90 ¨C
=
12.
December 22
34?N
90 ¨C
=
0?
Latitude
where you
are "at"
14?
Zenith Angle
Noon Sun Angle
Calculation
14 ¨C 0 = 14
90 ¨C 14 = 76
Noon
Sun
Angle
76?
More about Noon Sun Angles
North
South
This is a diagram of a house in Arizona. Pretend that the house is in southern Arizona at 33?N. The
diagram shows summer sun's rays at noon on the June 22nd Solstice and winter sun's rays at noon on the
December 22nd Solstice.
13. What is the angle of the sun¡¯s rays at noon during the summer (June 22nd Solstice)? ___________.
Show your work here:
14. What is the angle of the sun¡¯s rays at noon during the winter (December 22nd Solstice)?
___________________. Show your work here:
Bonus Questions
15. The original diagram is not correct. The summer angle should both be more vertical and the winter
angle should be shallower. Use a protractor to check the diagram, then correct the picture. Use the white
in the middle of the picture as the guide for your protractor.
16. Would you put a shade tree on the north or the south side of the house? Why?
KEY
Problem
Time of Year
Subsolar
Point
Zenith Angle
Noon Sun Angle
Calculation
Noon
Sun
Angle
0?
Latitude
where
you are
"at"
14?
Example
September 22
14 ¨C 0 = 14
90 ¨C 14 = 76
76?
1
Equinox
0?
23.5?N
23.5 ¨C 0 = 23.5
90 ¨C 23.5 = 66.5
66.5?
2
March 22
0?
80?N
80 ¨C 0 = 80
90 ¨C 80 = 10
10?
3
September 22
0?
80?S
80 ¨C 0 = 80
90 ¨C 80 = 10
10?
4
June 22
23.5? N
80?N
80 ¨C 23.5 = 56.6
90 ¨C 56.5 = 33.5
33.5?
5
June 22
23.5? N
80?S
80 + 23.5 = 103.5
6
June 22
23.5? N
0?
23.5 ¨C 0 = 23.5
90 ¨C 103.5 = -13.5
this means no
sunlight is received
90 ¨C 23.5 = 66.5
0?
24 hours
of night
66.5?
7
December 22
23.5? S
80?S
80 ¨C 23.5 = 56.5
90 ¨C 56.5 = 33.5
33.5?
8
December 22
23.5? S
80?N
80 + 23.5 = 103.5
9
December 22
23.5? S
23.5 ?S
23.5 ¨C 23.5 = 0
90 ¨C 103.5 = -13.5
this means no
sunlight is received
90 ¨C 0 = 90
0?
24 hours
of night
90?
10
March 22
0?
34?N
34 ¨C 0 = 34
90 ¨C 34 = 56
56?
11.
June 22
23.5? N
34?N
34 ¨C 23.5 = 10.5
90 ¨C 10.5 = 79.5
79.5?
12.
December 22
23.5? S
34?N
34 + 23.5 = 57.5
90 ¨C 57.5 = 32.5
32.5?
KEY
Original- not correct
North
South
Correct
North
South
This is a diagram of a house in Arizona. Let¡¯s pretend that the house is in southern Arizona at 33?N.
The diagram shows summer sun's rays at noon on the June 22nd Solstice and winter sun's rays at noon
on the December 22nd Solstice.
13. What is the angle of the sun¡¯s rays at noon during the summer (June 22nd Solstice)? ___________.
Show your work here:
Zenith Angle = 33 - 23.5 = 9.5
Sun Angle = 90 ¨C 9.5? = 80.5?
14. What is the angle of the sun¡¯s rays at noon during the winter (December 22nd Solstice)? __________.
Show your work here:
Zenith Angle = 33.5 + 23.5 = 56.5
Sun Angle = 90 ¨C 56.5 = 33.5?
Bonus Questions
15. The original diagram is not correct. The summer angle should both be more vertical and the winter
angle should be shallower. Use a protractor to check the diagram, then correct the picture. Use the white
in the middle of the picture as the guide for your protractor.
See correction in diagram at the top of this page
16. Would you put a shade tree on the north or the south side of the house? Why?
The diagram shows that the sun is always shining from the south. The shade is always cast to
the north of the tree. The smart place to put a shade tree would be on the south side of the house.
Name
Instructions: FILL IN THE CIRCLE BY THE CORRECT ANSWER
1. Why is it summer in the Northern Hemisphere in June?
? A. Earth is closer to the sun in June
? B. Sun angles are high and days are long
? C. The sun sends out giant solar flares in June
? D. The Northern Hemisphere is tilted away from the sun.
2. Which statement about the Vernal Equinox is correct?
? A. There are 12 hours of daylight and 12 hours of darkness at all latitudes.
? B. Sun angles are low and days are short.
? C. It is the first day of fall.
? D. Earth¡¯s axis is pointed way from the sun.
3. Look at the diagram above. Where is it summer?
? A. In Antarctica
? B. In the Southern Hemisphere
? C. At the Equator
? D. In the Northern Hemisphere
4. Where can you go on Summer Solstice (June 21st) and have 24-hours of daylight?
? A. The Equator
? B. The Tropic of Cancer
? C. All of the latitudes from the Arctic Circle to the North Pole
? D. All of the latitudes from the Antarctic Circle to the South Pole
5. When only a small amount of light hits a surface there is
? A. high solar flux and warm temperatures.
? B. high solar flux and cool temperatures.
? C. low solar flux and warm temperature.
? D. low solar flux and cool temperatures.
................
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