trig

posted by .

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?
What is the smallest angle of the triangle?
What is the largest angle of the triangle?
What is the remaining angle of the triangle?
What is the ground speed of the plane?

  • trig -

    Vp=225mi/h@(270-25) + 60mi/h@(270+80).
    Vp = 225mi/h@245deg + 60mi/h@350deg.
    Vp=(225cos245+60cos350) +
    i(225sin245+60sin350).

    Vp = (-95.1+59.1) + i(-203.9-10.4),
    Vp = -36 - i214.3,

    1. tan(Ar) = -214.3 / -36 = 5.95,
    Ar = 80.5deg.
    A = Ar + 180 = 80.5 + 180 = 260.5deg. =
    Direction(bearing).

    2. 90 - Ar = 90 - 80.5 = 9.5deg. = smallest angle.

    3. 90deg = Largest angle.

    4. 90 - 9.5 = 80.5deg.

    5. Vp^2 = (-36)^2 + (214.3)^2 = 47,220.49,
    Vp = 217.3mi/h.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. trig

    A plane is is flying 240 mph heading N60°E. The wind is blowing S30°E at 30 mph. What is ground speed?
  2. 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?
  3. 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?
  4. 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?
  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. Geometry

    A plane is is flying 240 mph heading N60°E. The wind is blowing S30°E at 30 mph. 6. What is ground speed of the plane?
  7. Geometry

    A plane is is flying 225 mph heading S25°W. The wind is blowing S80°E at 60 mph. 11. What is the bearing of the plane?
  8. geometry

    A plane is is flying 225 mph heading S25°W. The wind is blowing S80°E at 60 mph. What is the bearing of the plane?
  9. Math

    Can someone show me how to solve these questions. A plane is is flying 240 mph heading N60°E. The wind is blowing S30°E at 30 mph.   6. What is ground speed of the plane?
  10. 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?

More Similar Questions