.-I'v- '- 1. Create a page in your individual Canvas group entitled Shadow Experiments, copying the template page for this experiment 4 Heavenly Motion Measure Earth's Circumference Experiment Template. 2. In your Shadow Experiments page: 1. Below Setup, 2. Below the image, record the latitude and longitude El; in decimal degw E}, of your place of measurement and the data and time in lSO 8601 YYYY-MM~DDThh:mmTZD format E75. 3. In the Local results table, add your values for: 1. The height of the gnomon in meters underh (m) 2. The length of its noontiIne shadow in meters under (m) 3. The ratio of the shadow length to the gnomon height under tang = h / f 4. The arctangent of that ratio in degrees under 0 () 4. In the Global results table: 1. Calculate the latitude of no shadow by subtracting your angle 6 from the latitude 45 of your observation location. 2. On a map tool, such as Google Earth, nd the coordinates of the location with no shadow directly south of your measurement location using this difference as the latitude and the same longitude as your measurement location (for example, if you had measured a 50 angle shadow and you were at a latitude of 40 and a longitude of 90, then your no-shadow location would be at coordinates -10, -90. 3. Now use the map tool such as Google Earth [3 to measure the distance d between your measurement location and the no-shadow location in meters and record this in the table below d (m). 4. Multiply this value by the ratio of 360 to the shadow angle you calculated (if your value is not between 39,000,000 and 41,000,000 m, you made a mistake somewherelthis is your calculation of the circumference of the Earthlrecord this number below C9 (m) [meas.] ( e is the astronomical symbol for Earth.) 5. According to the World Geodetic System (the standard for use in mapmaking around the world including the GPS), the circumference of the Earth through the poles is 40,007,863 mrecord this number below C9 (m) [ref.]. 6. Now take your value calculated from measurements subtract the reference value, divide by the reference value, and multiply by 100 to get the percent difference of your value from the reference value (again, if your value is more than 2.5% or less than -2.5%, you made a mistake somewhere). 5. Below Summary, write a few-sentence description of what you did as though you were explaining to someone who had never done it; what were you trying to do? what was difcult to measure or to be sure of in your measuring? what was hard to calculate? how did your results compare to the reference value you had