Post a New Question

Trig

posted by .

A plane if flying at 200 mph with a heading of 45 degrees and encounters a wind of 100 mph from the west. What is the resulting velocity and heading?

  • Trig -

    East speed = 100 + 200 sin 45 = 241
    North speed = 200 cos 45 = 141

    speed = sqrt( 141^2 + 241^2) = 279 mph
    tan east of north = 241/141
    so angle east of north = 60 degrees

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Trig

    An airplane is flying on a compass heading (bearing) of 340 degrees at 325 mph. A wind is blowing with the bearing 320 degrees at 40 mph. Find the component form of the velocity of the airplane. then find the actual ground speed and …
  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. trig

    An airplane flies with a speed of 425 mph and a heading of 63°. If the heading of the wind is 24°and the speed of the wind is 31 mph, what is the heading of the plane and the ground speed?
  6. Algebra and Trigonometry

    A plane if flying at 200 mph with a heading of 45 degrees and encounters a wind of 100 mph from the west. What is the resulting velocity and heading?
  7. Trig

    A plane has a speed of 250mph and flies with a bearing of N35degE. The wind is blowing from the west at 25 mph with a heading of due east. What is the actual speed and heading of the plane?
  8. Trig

    In still air, an airplane is flying at 100 mph. It encounters a wind blowing toward the west at 50 mph. What should be the plane's compass heading for its course to be N30ºW?
  9. Trig/PreCalc

    An airplane is flying on a compass heading of 160 degrees at 425 mph. A wind is blowing with the bearing 200 degrees at 75 mph. Find the actual speed and direction of the airplane.
  10. physics

    If a golden eagle is flying due west with a speed of 32 mph, and encounters a wind that blows it north at 11 mph, what is the resultant velocity of the eagle in m/s?

More Similar Questions

Post a New Question