# Homework 8. Angular Size of the Sun

 Name: ________________________ Due 10/24 ID Number: ________________________

If we could gaze comfortably at the Sun, we would see it as a glowing circle. Imagine a narrow triangle extending from your eye to the opposite sides of the Sun, as shown just below. The angle between the long sides of this triangle, labeled with the Greek letter `' in this diagram, is the angular size of the Sun.

Having measured L and d, you can now find the angular size of the Sun. The triangle with height L and base d is similar to the triangle between your eye and the Sun, and similar triangles have the same angles. To compute the angle in degrees, use the small-angle formula:

Record your work below. First write down the values of L and d, being sure to include the units! Then calculate , using the equation just given.

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Of course, no measurement perfectly accurate. How accurate do you think your measurement is? What could you do to make it more accurate?

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