You are located at 53 degree N: What is the solar angle at noon at the Summer So
ID: 112328 • Letter: Y
Question
You are located at 53 degree N: What is the solar angle at noon at the Summer Solstice? What is the solar angle at noon at the Winter Solstice? What is the highest possible solar angle during the year if you live at 38.5 degree S? On what day will it occur? You are on a ship in the Pacific Ocean: On June 21^st (Summer Solstice), you measure the solar angle at noon it is 83.5 degree to your south. What is your latitude? Six months later, on December 22nd (Winter Solstice), you measure the solar angle at noon -it is 12.5 degree to your south. What is your new latitude? Assuming you traveled directly along a single meridian, how far (in Km) did you travel from June 21^st to December 22^nd?Explanation / Answer
1. Usually on summer solstice, for every degree of latitude you move away from 23.5°, the sun angle at noon decreases by 1°
Initially at noon the solar angle will be 90 deg at 23.5° N
So at 53° N,
53- 23.5= 29.5°
So decrease the solar angle by 29.5
Then, 90-29.5= 60.5° solar angle.
Formula is noin sun angle= 90- (latitude you are at-latitude where the sun is 90° at noon)
The angle at winter solstice is
53+23.5
= 76.5
Because winter solstice will be in southern hemisphere. So we are adding
Noon angle= 90- 76.5= 13.5°
2. 38.5 S ,winter solstice.
So substract this with 23.5s.=
15°
Solar angle 90-15 =75°
Its summer solstice for you occurs in december 22
3. Summer solstice, you are at 83.5S,
So different locations, so addition comes
Formula is noon angle= 90- (latitude you are at+latitude where the sun is 90° at noon)
83.5 = 90-latitude-23.5
Latitude where you are= 17 N
Six months later at winter solstice, so same hemispheres , subtraction
noon angle= 90- (latitude you are at-latitude where the sun is 90° at noon)
12.5=90-latitude+23.5
Latitude is 101S
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