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Posted by on Friday, April 12, 2013 at 1:25pm.

an airplane has an airspeed of 430 miles per hour at a bearing of 135 degrees. the wind velocity is 35 miles per hour in the direction N30degreesE. Find the resultant speed and direction of the plane.

  • trig - , Friday, April 12, 2013 at 1:44pm

    Mathematicians should not write navigation problems:
    an airplane has an airspeed of 430 miles per hour ***ON*** a ****HEADING**** of 135 degrees. the wind velocity is 35 miles per hour in the direction N30degreesE. Find the resultant speed and direction of the plane.
    Usually we say where the wind is FROM but this seems to imply that the air is moving N 30 E . Again mathematicians do not get this stuff.

    North speed = 430 cos 135 + 35 cos 30
    = -273 mph or 273 south

    East speed = 430 sin 135 + 35 sin 30
    = 322 mph

    total speed = sqrt(273^2+322^2) = 422 mph

    angle of travel east of south = A
    tan A = 322/273
    A = 49.7
    so actual direction over ground is
    180 - 49.7 = 130.3 degrees East of North

  • trig - , Sunday, May 8, 2016 at 7:15pm

    2045.6

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