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12 August, 07:10

From the earth, the moon subtends an angle of approximately 0.5°. If the distance to the moon is approximately 240,000 miles, find an approximation for the diameter of the moon accurate to the nearest hundred miles.

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  1. 12 August, 07:34
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    The subtended angle and by an arc is given by:

    S = r∅

    Although the arc is circular, the huge amount of distance means that it is almost equivalent to the director.

    D = 240,000 x (0.5 x π) / 180

    D = 2094 miles
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