Post a New Question

Trig

posted by .

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 direction of the plane

  • Trig -

    Vh = hor = 325cos340 + 40cos320,
    Vh = 305 +30.6 = 335.6mph.

    Vv = ver = 325sin340 + 40sin320,
    Vv = -111.2 -25.7 = -136.9mph.

    tanA = Vv/Vh = -136.9 / 335.6 = 0.4080,
    A = - 22.2deg CW = 337.8 deg. CCW.

    R = Vh / cosA = 335.6 / cos337.8 = 362.5mph @ 337.6 deg.

  • Trig -

    Troll

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    An airplane is flying on a bearing of 80 degrees at 540mph. A wind is blowing with a bearing of 100 degrees at 55mph. Find the component form of the velocity of the airplane.
  2. calculus

    An airplane is flying at 550 km/h on a heading of 080 degrees. The wind is blowing at 60 km/h from a bearing of 120 degrees. Find the ground velocity of the airplane and include the new bearing.
  3. Calculus

    An airplane is flying at 550 km/h on a heading of 080 degrees: The wind is blowing at 60 km/h from a bearing of 120 degrees. Find the ground velocity of the airplane.
  4. Calculus

    An airplane is flying at 550 km/h on a heading of 080 degrees. The wind is blowing at 60 km/h from a bearing of 120 degrees. Determine the ground velocity of the airplane. I am having trouble drawing this diagram.
  5. Cartesian Vectors

    An airplane is flying at an airspeed of 345 km/h on a heading of 040 degrees. The wind is blowing at 18 km/h from a bearing of 087 degrees. Determine the ground velocity of the airplane.
  6. trig

    An aifplane is flying on a compass heading (bearing) of 170* at 460 mph. A wind is blowing with the bearing 200* at 80mph. a) Find the component form of the velocity of the airplane. b) Find the actual ground speed and direction of …
  7. Math

    an airplane is flying a compass of 340 degrees at 325 mph. A wind is blowing with the bearing 300 degrees at 30 mph. Find the component form of the velocity, and find the actual ground speed and direction of the plane.
  8. Pre-calsulus

    a twin-engine cessna is heading on bearing of 35 degrees with an air speed of 180 mph. if the wind is out with a bearing of 90 degrees at 40 mph, then what is the bearing of this course?
  9. Math

    an airplane is flying with an airspeed of 145 mph and a heading of 84.5 degrees. q wind of 24.6 omh is blowing at a heading of 68.4 degrees. find the ground speed and course of airplane
  10. 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.

More Similar Questions

Post a New Question