posted by .

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)?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    In 1956, Frank Lloyd Wright proposed the construction of a mile-high building in Chicago. Suppose the building had been constructed. Ignoring Earth's rotation, find the change in your weight if you were to ride an elevator from the …
  2. Physics

    The Nautical Mile is internationally recognised as 1852m which is an approximation of 1' of latitude subtended to the earths surface. However it is an average and the geographical length on the earths surface of 1' of lat subtended …
  3. math 30 Trig

    A central angle subtends an arc of 35 cm. If the radius of the circle is 12 cm, what is the measure of the central angle?
  4. physics

    A coin is placed on a vinyl stereo record that is making 78 revolutions per minute on a turntable. Find the magnitude of the acceleration when the coin is placed 5.0, 10, and 17 cm from the center of the record. The radius of Earth …
  5. Precalculus

    A nautical mile equals the length of arc subtended by a central angle of 1 minute on a great circle on the surface of Earth. If the radius of Earth is taken as 3960 miles, express 1 nautical mile in terms of ordinary, or statute, miles.
  6. trig

    In a computer simulation, a satellite orbits around Earth at a distance from the Earth's surface of 2.1 X 104 miles. The orbit is circular, and one revolution around Earth takes 10.5 days. Assuming the radius of the Earth is 3960 miles, …
  7. Bobby

    Find the length (in cm) of an arc of a circle with radius 12 cm if the arc subtends a central angle of 30°.
  8. Astronomy

    How large should Venus appear in arc seconds?
  9. math

    The position of two towns X and Y are given to the nearest degree as X(45° N, 10° W) and Y (45 N°, 70° W). Find (a) The distance between the two towns in (i) Kilometers ( take the radius of the earth as 63711) (ii) Nautical miles …
  10. MATH

    The moon's distance from the earth is 360000 km and its diameter subtends an angle of 31 minute at the of the observer on the earth . Find the radius of the moon.

More Similar Questions