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 approx

Question

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. (See Example 4 and the discussion that precedes it.)

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2 months 2021-10-15T04:59:35+00:00 1 Answer 0 views 0

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    2021-10-15T05:00:58+00:00

    Answer:

    2100 miles.

    Step-by-step explanation:

    Given:

    Diameter to the moon = 240000 miles

    ∅ = 0.5 °

    The subtended angle by an arc is given as:

    S = r∅

    Where

    r = radius of the circle

    Therefore,

    D = 240,000 x (0.5 x π rads)/180

    = 2094 miles

    = 2100 miles.

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