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# name MEASURING ANGLES Fig 1: Islamic Astronomers of the Middle Ages in an Observatory in Istanbul. Fig 2: Tycho Brahe in Denmark. His observations...

please do only Part I and either A or B of Part II

Measuring Angles ± Lab 1 ± 1 name M EASURING A NGLES Fig 1: Islamic Astronomers of the Middle Ages in an Observatory in Istanbul. Image can be found in the book “History of the Modern World” by Palmer, Colton & Kramer at http://highered.mcgraw- hill.com/sites/0072316551/ or http://www.unf.edu/classes/freshmancore/core1images/muslimastro nomers-MS-1.jpg Fig 2: Tycho Brahe in Denmark. His observations were later used by Kepler. Image from http://buhlplanetarium2.tripod.com/Buhlexhibits.htm or http://casswww.ucsd.edu/public/tutorial/images/history/brahe_quadrant.gif or http://zebu.uoregon.edu/~imamura/121/lecture-3/brahe.html or http://commons.wikimedia.org/wiki/Image:Tycho_Brahe_in_his_laborator y.png Have you ever thought how we determine the positions of stars, or the sizes of anything? If you want to know the size of Jupiter (or even just the moon), you can hardly fly to it with your ruler in your hand and measure it. However, the moon has a definite size in the sky. And what’s the size of the entire sky? This seems a ridiculous question, however if we think in terms of angles it gets easier. One whole circle has 360 degrees. A huge cloud that occupies about one 10 th of the sky then has a diameter of 180 o /10, i.e., 18 o . Similarly, you can measure the diameter of the moon, which turns out to be about 0.5 o . So in Astronomy we always think in angles - i.e. , in “angular sizes.” Thousands of years ago we observed and measured angles in the sky, and today we still do the same - and ironically we still use pretty much the same methods. In this Lab you will learn the simplest and most basic method of how to measure angles.
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PART 1
a) 75 cm
b) 1.7 cm
c) Tan(angle)=Width of finger/Distance from eye to finger
Tan(angle)=1.5/75
Tan(angle)=0.02
Tan^-1(0.02)=1.14576 deg
d) angle = 1.1 degrees to 2 significant figures
e) To...

1 comment
• Thank you for your patience. Any questions or clarification is welcomed.
• cplusplusexpert
• Jul 20, 2016 at 2:29pm

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