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Precalculus

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Find the distance along an arc on the surface of the earth that subtends a central angle of 1 minute. (1 minute = 1/60 degree) This is a nautical mile. Note that the radius of the Earth is 3960 miles and there are 1760 yards in a mile. Express your answer in both miles and yards.

  • Precalculus -

    s = r*theta
    s = 3960 * 1/60 * pi/180 = 1.15mi
    1.15mi * 1760yd/mi = 2027yd

  • Precalculus -

    how are the following relations true? S(theta + pi/2) = C(theta) and C(theta + pi/2) = -S(theta)?

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