Honors Trig.

posted by .

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? What direction is the plane traveling?

  • Honors Trig. -

    Here is an easy way to do these.
    1) convert all angles to 000N,090E, 180S, 270W


    Example: 456@29deg S of E.
    = 456@119
    then convert to N, E coordinates.

    V= 456(Cos119 N + Sin119 E)

    Now for your problem:

    V= 550(cos295 N +sin295 E)+28(cos109 N+ sin109)
    combine N, E vector components:
    V= N(550cos295+28cos109)+E(550sin295+28sin109)

    do that math and you will have something like this
    V= nnnn N + eeeee E

    magnitude V= sqrt(nnnn^2+eeee^2)
    direction= arctan (eeee/nnnn)
    on the angle, be careful, as tangent is a repeating angle, it repeats each 180. So you may have to figure which quadrant.

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 flying 225 mph heading South 25┬░West. The wind is blowing South 80┬░East at 60 mph. What is the bearing of the plane?
  3. Trig

    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?
  4. Geometry/trig

    A plane is flying due south at a speed of 300 mph. The wind is blowing from the west at a speed of 40 mph. Find the resultant speed of the plane and the direction of the plane
  5. Honors Trig

    a plane is flying in the direction of 190 degrees with an air speed of 400 mph. Its course and ground speed are 200 degrees and 350 mph respectively. What is the speed and direction of the wind?
  6. 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?
  7. Trig

    The problem is: an airplane is flying in the direction 120 degrees with an airspeed of 320 mph, and a 35 mph wind is blowing in the direction 60 degrees. The question ask to find the true course and the ground speed. To solve the problem …
  8. 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 …
  9. Math

    An airplane is flying in a direction of 65 degrees at 450 mph. A wind is blowing in a direction of 20 degrees at 35 mph. Find the actual speed and direction of the plane.
  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