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Question: 1suppose on a nice december evening you gaze upon your...

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1.Suppose on a nice December evening you gaze upon your favorite star. You stick your handout into the sky and point at it, then you keep your arm fixed and frozen. Until 6 months later when you reach for the sky again and point at your star with your other arm. Suppose now you observe the angle you have created with your arms to be 0.14°. How far is the star from the sun? [hint: assume the earth orbits in a circular motion around the sun once every 12 month, where the orbit has radius of r=149.6×10^6 km ]

2. Suppose on your drive to Vegas you see an object in the far distance. You stick your handout and point at it, and keep your arm fixed and frozen. Suppose 6 miles later you pass the object at a perpendicular distance to the road, then another 6 miles later you stick out your other arm and point at the object (with your unfrozen arm). Suppose now you observe the angle you have created with your arms to be 7° . How far is the object from the road? [hint: draw your arms as if they were very very long ]

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