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March 29, 2017

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The air speed indicator of a plane that took off from Detroit reads 373 km/h and the compass indicates that it is heading due east to Boston. A steady wind is blowing due north at 42.3 km/h.

Calculate the speed of the plane with reference to the ground.

If the pilot wishes to fly directly to Boston (due east) what must the compass read? (0 = North, 90 = East, ...)

  • Physics - ,

    X = east = 373km/h.

    a. Y = north = 42.3km/h.

    tanA = Y/X = 42.3 / 373 = 0.1134.
    A = 6.47deg.

    V = X / cosA = 373 / cos6.47 = 375.4km/h.

    b. -6.47deg = 6.47deg South of East.
    Get a 2nd opinion on this one.

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