Trig

posted by .

A plane is flying at 240 mph heading North 60 degrees East. The wind is blowing at South 30 degrees East at 30 mph.

What is the largest and smallest angles?

  • Trig -

    Vp = 240mi/h, N60E = 30deg CCW.

    Vw = 30mi/h, S30E = 300deg. CCW.

    Add all hor components of velocity; and
    then add all ver. components.

    X = hor = 240cos30 + 30cos300 =
    207.8 + 15 = 222.8mi/h.

    Y = ver = 240sin30 + 30sin300 =
    120 - 26 = 94mi/h.

    Now we have a single rt triangle with
    X and Y representing the hor and ver
    side, respectively.

    tanA = Y/X = 94/222.8 = 0.4219,
    A = 22.9deg.,CCW = N67.1E. = Bearing of
    the plane.

    The largest angle = 90deg.

    The smallest angle = 22.9deg.,CCW.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. word problem

    An airplane is flying with a heading of 60 degrees east of north at 450 mph. A wind is blowing at 37 mph from the north. Find the plane's ground speed to the nearest mph and direction to the nearest degree. Thanks.
  2. trig

    A plane is is flying 240 mph heading N60°E. The wind is blowing S30°E at 30 mph. What is ground speed?
  3. trig

    A plane is flying 225 mph heading South 25°West. The wind is blowing South 80°East at 60 mph. What is the bearing of the plane?
  4. Precalculus

    Okay I am soo confused with these two questions: The resultant of two forces acting on a body has a magnitude of 80 pounds. The angles between the resultant and the forces are 20° and 52°. Find the magnitude of the larger force. …
  5. geometry

    A plane is heading west at 200 mph. The wind is blowing S30°W at 25 mph. 1. What is the ground speed of the plane?
  6. Honors Trig.

    A plane is flying at a speed and direction of 550 mph, 25 degrees north of west. There is a wind of 28 mph, at an angle of 19 degrees south of the east direction. How fast is the plane actually flying?
  7. Physics

    A plane is heading due south with an airspeed of 211 mph. A wind from a direction of 53 degrees is blowing at 17 mph. Find the bearing of the plane. (Note that bearings are measured from north, clockwise.) Round results to appropriate …
  8. trig

    A plane is flying due south at a speed of 192 mph. a wind is blowing in at 53 degrees at 13 mph. what is the bearing of the plane?
  9. calculus

    Multiple choice: An airplane flying due east at 539 mph in still air, encounters a 61-mph tail wind acting in the direction 45 degrees north of east. The airplane holds its compass heading but because of the wind acquires a new ground …
  10. Trig/Pre-Calc

    A bird is flying 30 mph in a direction 30 degrees south of east. Affecting the flight of the bird is a wind blowing from the northeast to the southwest at a speed of 10 mph. What is the resulting speed of the bird?

More Similar Questions